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20601480984 = 2337297159557
BaseRepresentation
bin10011001011111100…
…011010011100011000
31222011202022200001020
4103023330122130120
5314142434342414
613244133122440
71326344461530
oct231374323430
958152280036
1020601480984
118811aa9647
123bab489420
131c341a1646
14dd61364c0
1580897c7a9
hex4cbf1a718

20601480984 has 128 divisors (see below), whose sum is σ = 61749734400. Its totient is φ = 5603028480.

The previous prime is 20601480973. The next prime is 20601481003. The reversal of 20601480984 is 48908410602.

It is a super-2 number, since 2×206014809842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 316134 + ... + 375690.

It is an arithmetic number, because the mean of its divisors is an integer number (482419800).

Almost surely, 220601480984 is an apocalyptic number.

20601480984 is a gapful number since it is divisible by the number (24) 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 20601480984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30874867200).

20601480984 is an abundant number, since it is smaller than the sum of its proper divisors (41148253416).

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

20601480984 is a wasteful number, since it uses less digits than its factorization.

20601480984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59673 (or 59669 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 20601480984 in words is "twenty billion, six hundred one million, four hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 71 84 87 116 142 168 174 203 213 232 284 348 406 426 497 568 609 696 812 852 994 1218 1491 1624 1704 1988 2059 2436 2982 3976 4118 4872 5964 6177 8236 11928 12354 14413 16472 24708 28826 43239 49416 57652 59557 86478 115304 119114 172956 178671 238228 345912 357342 416899 476456 714684 833798 1250697 1429368 1667596 1727153 2501394 3335192 3454306 4228547 5002788 5181459 6908612 8457094 10005576 10362918 12090071 12685641 13817224 16914188 20725836 24180142 25371282 29599829 33828376 36270213 41451672 48360284 50742564 59199658 72540426 88799487 96720568 101485128 118399316 122627863 145080852 177598974 236798632 245255726 290161704 355197948 367883589 490511452 710395896 735767178 858395041 981022904 1471534356 1716790082 2575185123 2943068712 3433580164 5150370246 6867160328 10300740492 20601480984