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545440431432 = 2331319493718637
BaseRepresentation
bin1111110111111101100…
…10000111110101001000
31221010212200101210122110
413323332302013311020
532414030222301212
61054323305222320
754256344112311
oct7737662076510
91833780353573
10545440431432
111a03579a4166
1289862a919a0
133c586388520
141c58417d608
15e2c506ea3c
hex7efec87d48

545440431432 has 128 divisors (see below), whose sum is σ = 1546178659200. Its totient is φ = 158954047488.

The previous prime is 545440431409. The next prime is 545440431433. The reversal of 545440431432 is 234134044545.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (545440431433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29257218 + ... + 29275854.

It is an arithmetic number, because the mean of its divisors is an integer number (12079520775).

Almost surely, 2545440431432 is an apocalyptic number.

545440431432 is a gapful number since it is divisible by the number (52) 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 545440431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773089329600).

545440431432 is an abundant number, since it is smaller than the sum of its proper divisors (1000738227768).

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

545440431432 is a wasteful number, since it uses less digits than its factorization.

545440431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23615 (or 23611 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 545440431432 its reverse (234134044545), we get a palindrome (779574475977).

The spelling of 545440431432 in words is "five hundred forty-five billion, four hundred forty million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 4937 5928 9874 14811 18637 19748 29622 37274 39496 55911 59244 64181 74548 93803 111822 118488 128362 149096 187606 192543 223644 242281 256724 281409 354103 375212 385086 447288 484562 513448 562818 708206 726843 750424 770172 969124 1062309 1125636 1219439 1416412 1453686 1540344 1938248 2124618 2251272 2438878 2832824 2907372 3658317 4249236 4603339 4877756 5814744 7316634 8498472 9206678 9755512 13810017 14633268 18413356 27620034 29266536 36826712 55240068 92010869 110480136 184021738 276032607 368043476 552065214 736086952 1104130428 1196141297 1748206511 2208260856 2392282594 3496413022 3588423891 4784565188 5244619533 6992826044 7176847782 9569130376 10489239066 13985652088 14353695564 20978478132 22726684643 28707391128 41956956264 45453369286 68180053929 90906738572 136360107858 181813477144 272720215716 545440431432