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290861196491900 = 2252372111789208253
BaseRepresentation
bin100001000100010010110011…
…0010010111011110001111100
31102010212001120212211222002102
41002020211212102323301330
5301110432212300220100
62510335442232444232
7115160012411366666
oct10210454622736174
91363761525758072
10290861196491900
118474a5a4758341
1228756a22249678
13c63b129819918
1451b7a853bb536
152395e79506cd5
hex10889664bbc7c

290861196491900 has 144 divisors (see below), whose sum is σ = 651666767428320. Its totient is φ = 112600023782400.

The previous prime is 290861196491897. The next prime is 290861196491909. The reversal of 290861196491900 is 9194691168092.

It is a super-2 number, since 2×2908611964919002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290861196491909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396568174 + ... + 1396776426.

Almost surely, 2290861196491900 is an apocalyptic number.

290861196491900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290861196491900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325833383714160).

290861196491900 is an abundant number, since it is smaller than the sum of its proper divisors (360805570936420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290861196491900 is a wasteful number, since it uses less digits than its factorization.

290861196491900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210304 (or 210297 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 65.

The spelling of 290861196491900 in words is "two hundred ninety trillion, eight hundred sixty-one billion, one hundred ninety-six million, four hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 211 370 422 740 844 925 1055 1789 1850 2110 3578 3700 4220 5275 7156 7807 8945 10550 15614 17890 21100 31228 35780 39035 44725 66193 78070 89450 132386 156140 178900 195175 208253 264772 330965 377479 390350 416506 661930 754958 780700 833012 1041265 1323860 1509916 1654825 1887395 2082530 3309650 3774790 4165060 5206325 6619300 7549580 7705361 9436975 10412650 13966723 15410722 18873950 20825300 27933446 30821444 37747900 38526805 43941383 55866892 69833615 77053610 87882766 139667230 154107220 175765532 192634025 219706915 279334460 349168075 372564617 385268050 439413830 698336150 745129234 770536100 878827660 1098534575 1396672300 1490258468 1625831171 1862823085 2197069150 3251662342 3725646170 4394138300 6503324684 7451292340 8129155855 9314115425 13784890829 16258311710 18628230850 27569781658 32516623420 37256461700 40645779275 55139563316 68924454145 78611134187 81291558550 137848908290 157222268374 162583117100 275697816580 314444536748 344622270725 393055670935 689244541450 786111341870 1378489082900 1572222683740 1965278354675 2908611964919 3930556709350 5817223929838 7861113418700 11634447859676 14543059824595 29086119649190 58172239298380 72715299122975 145430598245950 290861196491900