Search a number
-
+
29231017056 = 25323713720023
BaseRepresentation
bin11011001110010011…
…011110110001100000
32210110011022112002100
4123032103132301200
5434331120021211
621232322050400
72053241355033
oct331623366140
983404275070
1029231017056
111144016883a
1257b94a9a00
1329aac820c7
1415b427501a
15b6137c156
hex6ce4dec60

29231017056 has 144 divisors (see below), whose sum is σ = 85999796064. Its totient is φ = 9410660352.

The previous prime is 29231017033. The next prime is 29231017069. The reversal of 29231017056 is 65071013292.

29231017056 is a `hidden beast` number, since 292 + 310 + 1 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29231017056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449861 + ... + 1469883.

It is an arithmetic number, because the mean of its divisors is an integer number (597220806).

Almost surely, 229231017056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29231017056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42999898032).

29231017056 is an abundant number, since it is smaller than the sum of its proper divisors (56768779008).

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

29231017056 is a wasteful number, since it uses less digits than its factorization.

29231017056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20213 (or 20202 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 29231017056 in words is "twenty-nine billion, two hundred thirty-one million, seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 137 144 148 222 274 288 296 333 411 444 548 592 666 822 888 1096 1184 1233 1332 1644 1776 2192 2466 2664 3288 3552 4384 4932 5069 5328 6576 9864 10138 10656 13152 15207 19728 20023 20276 30414 39456 40046 40552 45621 60069 60828 80092 81104 91242 120138 121656 160184 162208 180207 182484 240276 243312 320368 360414 364968 480552 486624 640736 720828 729936 740851 961104 1441656 1459872 1481702 1922208 2222553 2743151 2883312 2963404 4445106 5486302 5766624 5926808 6667659 8229453 8890212 10972604 11853616 13335318 16458906 17780424 21945208 23707232 24688359 26670636 32917812 35560848 43890416 49376718 53341272 65835624 71121696 87780832 98753436 101496587 106682544 131671248 197506872 202993174 213365088 263342496 304489761 395013744 405986348 608979522 790027488 811972696 913469283 1217959044 1623945392 1826938566 2435918088 3247890784 3653877132 4871836176 7307754264 9743672352 14615508528 29231017056