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199103299956760 = 23543532239794207
BaseRepresentation
bin101101010001010101011001…
…011101111011000000011000
3222002222002102022022010222211
4231101111121131323000120
5202044102024242104020
61543242443203324504
756636511244566253
oct5521253135730030
9862862368263884
10199103299956760
1158493265238951
121a3b7678380734
13871348c39b514
143724918a0609a
15180420160785a
hexb5155977b018

199103299956760 has 128 divisors (see below), whose sum is σ = 469144130273280. Its totient is φ = 75979219051008.

The previous prime is 199103299956731. The next prime is 199103299956761. The reversal of 199103299956760 is 67659992301991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199103299956761) 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 31 ways as a sum of consecutive naturals, for example, 15431577 + ... + 25225783.

It is an arithmetic number, because the mean of its divisors is an integer number (3665188517760).

Almost surely, 2199103299956760 is an apocalyptic number.

199103299956760 is a gapful number since it is divisible by the number (10) 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 199103299956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234572065136640).

199103299956760 is an abundant number, since it is smaller than the sum of its proper divisors (270040830316520).

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

199103299956760 is a wasteful number, since it uses less digits than its factorization.

199103299956760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794537 (or 9794533 counting only the distinct ones).

The product of its (nonzero) digits is 446410440, while the sum is 76.

The spelling of 199103299956760 in words is "one hundred ninety-nine trillion, one hundred three billion, two hundred ninety-nine million, nine hundred fifty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 172 212 215 223 265 344 424 430 446 530 860 892 1060 1115 1720 1784 2120 2230 2279 4460 4558 8920 9116 9589 11395 11819 18232 19178 22790 23638 38356 45580 47276 47945 59095 76712 91160 94552 95890 118190 191780 236380 383560 472760 508217 1016434 2032868 2541085 4065736 5082170 9794207 10164340 19588414 20328680 39176828 48971035 78353656 97942070 195884140 391768280 421150901 519092971 842301802 1038185942 1684603604 2076371884 2105754505 2184108161 2595464855 3369207208 4152743768 4211509010 4368216322 5190929710 8423018020 8736432644 10381859420 10920540805 16846036040 17472865288 20763718840 21841081610 22320997753 43682163220 44641995506 87364326440 89283991012 93916650923 111604988765 115757732533 178567982024 187833301846 223209977530 231515465066 375666603692 446419955060 463030930132 469583254615 578788662665 751333207384 892839910120 926061860264 939166509230 1157577325330 1878333018460 2315154650660 3756666036920 4630309301320 4977582498919 9955164997838 19910329995676 24887912494595 39820659991352 49775824989190 99551649978380 199103299956760