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20413752996 = 22372137336583
BaseRepresentation
bin10011000000110000…
…010010011010100100
31221200200002002122210
4103000300102122210
5313301410043441
613213345323420
71321605015600
oct230060223244
957620062583
1020413752996
11872603884a
123b58636570
131c043230b0
14db922a500
157e7249616
hex4c0c126a4

20413752996 has 144 divisors (see below), whose sum is σ = 60490034304. Its totient is φ = 5309950464.

The previous prime is 20413752977. The next prime is 20413753033. The reversal of 20413752996 is 69925731402.

It is a super-2 number, since 2×204137529962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539721 + ... + 576303.

Almost surely, 220413752996 is an apocalyptic number.

20413752996 is a gapful number since it is divisible by the number (26) 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 20413752996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30245017152).

20413752996 is an abundant number, since it is smaller than the sum of its proper divisors (40076281308).

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

20413752996 is a wasteful number, since it uses less digits than its factorization.

20413752996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36690 (or 36681 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 20413752996 in words is "twenty billion, four hundred thirteen million, seven hundred fifty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 73 78 84 91 98 146 147 156 182 196 219 273 292 294 364 438 511 546 588 637 876 949 1022 1092 1274 1533 1898 1911 2044 2548 2847 3066 3577 3796 3822 5694 6132 6643 7154 7644 10731 11388 13286 14308 19929 21462 26572 36583 39858 42924 46501 73166 79716 93002 109749 139503 146332 186004 219498 256081 279006 438996 475579 512162 558012 768243 951158 1024324 1426737 1536486 1792567 1902316 2670559 2853474 3072972 3329053 3585134 5341118 5377701 5706948 6658106 7170268 8011677 9987159 10682236 10755402 13316212 16023354 18693913 19974318 21510804 23303371 32046708 34717267 37387826 39948636 46606742 56081739 69434534 69910113 74775652 93213484 104151801 112163478 130857391 138869068 139820226 208303602 224326956 243020869 261714782 279640452 392572173 416607204 486041738 523429564 729062607 785144346 972083476 1458125214 1570288692 1701146083 2916250428 3402292166 5103438249 6804584332 10206876498 20413752996