Search a number
-
+
505898707374 = 23443798231117
BaseRepresentation
bin1110101110010011110…
…10011010100110101110
31210100210221200002120000
413113021322122212232
531242040032113444
61024223501005130
751356433030054
oct7271172324656
91710727602500
10505898707374
111856066a4675
12820685537a6
133892423c878
141a6b27c61d4
15d25d90d469
hex75c9e9a9ae

505898707374 has 160 divisors (see below), whose sum is σ = 1177113400320. Its totient is φ = 162283238208.

The previous prime is 505898707373. The next prime is 505898707439. The reversal of 505898707374 is 473707898505.

505898707374 is a `hidden beast` number, since 505 + 8 + 98 + 7 + 0 + 7 + 37 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505898707373) 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 79 ways as a sum of consecutive naturals, for example, 452907864 + ... + 452908980.

It is an arithmetic number, because the mean of its divisors is an integer number (7356958752).

Almost surely, 2505898707374 is an apocalyptic number.

505898707374 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505898707374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588556700160).

505898707374 is an abundant number, since it is smaller than the sum of its proper divisors (671214692946).

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

505898707374 is a wasteful number, since it uses less digits than its factorization.

505898707374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 505898707374 in words is "five hundred five billion, eight hundred ninety-eight million, seven hundred seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 43 54 79 81 86 129 158 162 237 258 387 474 711 774 823 1117 1161 1422 1646 2133 2234 2322 2469 3351 3397 3483 4266 4938 6399 6702 6794 6966 7407 10053 10191 12798 14814 20106 20382 22221 30159 30573 35389 44442 48031 60318 61146 65017 66663 70778 88243 90477 91719 96062 106167 130034 133326 144093 176486 180954 183438 195051 212334 264729 275157 288186 318501 390102 432279 529458 550314 585153 637002 794187 864558 919291 955503 1170306 1296837 1588374 1755459 1838582 1911006 2382561 2593674 2757873 2795731 2866509 3510918 3794449 3890511 4765122 5266377 5515746 5591462 5733018 7147683 7588898 7781022 8273619 8387193 10532754 11383347 14295366 16547238 16774386 22766694 24820857 25161579 34150041 39529513 49641714 50323158 68300082 72623989 74462571 75484737 79059026 102450123 118588539 145247978 148925142 150969474 204900246 217871967 226454211 237177078 307350369 355765617 435743934 452908422 614700738 653615901 711531234 1067296851 1307231802 1960847703 2134593702 3122831527 3201890553 3921695406 5882543109 6245663054 6403781106 9368494581 11765086218 18736989162 28105483743 56210967486 84316451229 168632902458 252949353687 505898707374