Search a number
-
+
245754677432 = 231121724161967
BaseRepresentation
bin1110010011100000011…
…1101100100010111000
3212111100001210010101002
43210320013230202320
513011301144134212
6304521555344132
723520013202015
oct3447007544270
9774301703332
10245754677432
1195251121600
123b7668b2048
131a2366a4ac4
14bc74a7c70c
1565d5285ac2
hex39381ec8b8

245754677432 has 96 divisors (see below), whose sum is σ = 538515552960. Its totient is φ = 104697753600.

The previous prime is 245754677429. The next prime is 245754677437. The reversal of 245754677432 is 234776457542.

It is a super-2 number, since 2×2457546774322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245754677437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934913 + ... + 3996879.

It is an arithmetic number, because the mean of its divisors is an integer number (5609537010).

Almost surely, 2245754677432 is an apocalyptic number.

245754677432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 495736×495737.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245754677432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269257776480).

245754677432 is an abundant number, since it is smaller than the sum of its proper divisors (292760875528).

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

245754677432 is a wasteful number, since it uses less digits than its factorization.

245754677432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62253 (or 62238 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 56.

The spelling of 245754677432 in words is "two hundred forty-five billion, seven hundred fifty-four million, six hundred seventy-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 241 242 374 482 484 748 964 968 1496 1928 2057 2651 4097 4114 5302 8194 8228 10604 16388 16456 21208 29161 32776 45067 58322 61967 90134 116644 123934 180268 233288 247868 360536 495736 495737 681637 991474 1053439 1363274 1982948 2106878 2726548 3965896 4213756 5453096 7498007 8427512 11587829 14934047 14996014 23175658 29868094 29992028 46351316 59736188 59984056 92702632 119472376 127466119 164274517 253878799 254932238 328549034 507757598 509864476 657098068 1015515196 1019728952 1314196136 1807019687 2031030392 2792666789 3614039374 5585333578 7228078748 11170667156 14456157496 22341334312 30719334679 61438669358 122877338716 245754677432