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20691402048 = 263423173539
BaseRepresentation
bin10011010001010011…
…011011110101000000
31222102000112010120000
4103101103123311000
5314333444331143
613301104320000
71331516005212
oct232123336500
958360463500
1020691402048
118858836679
124015613000
131c499c6685
1410040625b2
158117e0bd3
hex4d14dbd40

20691402048 has 140 divisors (see below), whose sum is σ = 64002940320. Its totient is φ = 6597220608.

The previous prime is 20691402047. The next prime is 20691402131. The reversal of 20691402048 is 84020419602.

20691402048 is a `hidden beast` number, since 206 + 9 + 1 + 402 + 0 + 48 = 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 (20691402047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32463 + ... + 206001.

Almost surely, 220691402048 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 20691402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32001470160).

20691402048 is an abundant number, since it is smaller than the sum of its proper divisors (43311538272).

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

20691402048 is a wasteful number, since it uses less digits than its factorization.

20691402048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173586 (or 173567 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20691402048 in words is "twenty billion, six hundred ninety-one million, four hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 173539 347078 520617 694156 1041234 1388312 1561851 2082468 2776624 3123702 3991397 4164936 4685553 5553248 6247404 7982794 8329872 9371106 11106496 11974191 12494808 14056659 15965588 16659744 18742212 23948382 24989616 28113318 31931176 33319488 35922573 37484424 47896764 49979232 56226636 63862352 71845146 74968848 95793528 99958464 107767719 112453272 127724704 143690292 149937696 191587056 215535438 224906544 255449408 287380584 299875392 323303157 383174112 431070876 449813088 574761168 646606314 766348224 862141752 899626176 1149522336 1293212628 1724283504 2299044672 2586425256 3448567008 5172850512 6897134016 10345701024 20691402048