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421696974096 = 24331967766811
BaseRepresentation
bin1100010001011110001…
…10010010110100010000
31111022110210020212002000
412020233012102310100
523402113411132341
6521420325354000
742316021065156
oct6105706226420
91438423225060
10421696974096
11152927a48152
1269889568900
13309c5773158
14165a59c33d6
15ae8161b8b6
hex622f192d10

421696974096 has 160 divisors (see below), whose sum is σ = 1293151756800. Its totient is φ = 131179720320.

The previous prime is 421696974079. The next prime is 421696974109. The reversal of 421696974096 is 690479696124.

421696974096 is a `hidden beast` number, since 4 + 2 + 169 + 69 + 7 + 409 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166531 + ... + 933341.

It is an arithmetic number, because the mean of its divisors is an integer number (8082198480).

Almost surely, 2421696974096 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 421696974096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646575878400).

421696974096 is an abundant number, since it is smaller than the sum of its proper divisors (871454782704).

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

421696974096 is a wasteful number, since it uses less digits than its factorization.

421696974096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766914 (or 766902 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 421696974096 in words is "four hundred twenty-one billion, six hundred ninety-six million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 67 72 76 108 114 134 144 152 171 201 216 228 268 304 342 402 432 456 513 536 603 684 804 912 1026 1072 1206 1273 1368 1608 1809 2052 2412 2546 2736 3216 3618 3819 4104 4824 5092 7236 7638 8208 9648 10184 11457 14472 15276 20368 22914 28944 30552 34371 45828 61104 68742 91656 137484 183312 274968 549936 766811 1533622 2300433 3067244 4600866 6134488 6901299 9201732 12268976 13802598 14569409 18403464 20703897 27605196 29138818 36806928 41407794 43708227 51376337 55210392 58277636 82815588 87416454 102752674 110420784 116555272 131124681 154129011 165631176 174832908 205505348 233110544 262249362 308258022 331262352 349665816 393374043 411010696 462387033 524498724 616516044 699331632 786748086 822021392 924774066 976150403 1048997448 1233032088 1387161099 1573496172 1849548132 1952300806 2097994896 2466064176 2774322198 2928451209 3146992344 3699096264 3904601612 5548644396 5856902418 6293984688 7398192528 7809203224 8785353627 11097288792 11713804836 15618406448 17570707254 22194577584 23427609672 26356060881 35141414508 46855219344 52712121762 70282829016 105424243524 140565658032 210848487048 421696974096