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20203830972 = 2234136771593
BaseRepresentation
bin10010110100001111…
…011111111010111100
31221011001001221210000
4102310033133322330
5312334140042342
613140450114300
71313445505203
oct226417377274
957131057700
1020203830972
118628599276
123aba27b990
131b9c9a3890
14d993c423a
157d3ad044c
hex4b43dfebc

20203830972 has 120 divisors (see below), whose sum is σ = 57729392336. Its totient is φ = 6123693312.

The previous prime is 20203830971. The next prime is 20203830979. The reversal of 20203830972 is 27903830202.

20203830972 is a `hidden beast` number, since 202 + 0 + 383 + 0 + 9 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20203830971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246408 + ... + 318000.

Almost surely, 220203830972 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 20203830972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28864696168).

20203830972 is an abundant number, since it is smaller than the sum of its proper divisors (37525561364).

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

20203830972 is a wasteful number, since it uses less digits than its factorization.

20203830972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71689 (or 71678 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20203830972 in words is "twenty billion, two hundred three million, eight hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 81 108 117 134 156 162 201 234 268 324 351 402 468 603 702 804 871 1053 1206 1404 1742 1809 2106 2412 2613 3484 3618 4212 5226 5427 7236 7839 10452 10854 15678 21708 23517 31356 47034 70551 71593 94068 141102 143186 214779 282204 286372 429558 644337 859116 930709 1288674 1861418 1933011 2577348 2792127 3722836 3866022 4796731 5584254 5799033 7732044 8376381 9593462 11168508 11598066 14390193 16752762 19186924 23196132 25129143 28780386 33505524 43170579 50258286 57560772 62357503 75387429 86341158 100516572 124715006 129511737 150774858 172682316 187072509 249430012 259023474 301549716 374145018 388535211 518046948 561217527 748290036 777070422 1122435054 1554140844 1683652581 2244870108 3367305162 5050957743 6734610324 10101915486 20203830972