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20597131492616 = 2373132573642833
BaseRepresentation
bin1001010111011101001001…
…01101001011110100001000
32200221001210111201021202202
410223232210231023310020
510144430411130230431
6111450105214215332
74224044055662420
oct453564455136410
980831714637682
1020597131492616
116621215841578
122387a417b4548
13b653bb8789a3
14512c99567480
1525aba2e858cb
hex12bba4b4bd08

20597131492616 has 64 divisors (see below), whose sum is σ = 45574476180480. Its totient is φ = 8539963914240.

The previous prime is 20597131492607. The next prime is 20597131492621. The reversal of 20597131492616 is 61629413179502.

It is a super-2 number, since 2×205971314926162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832736 + ... + 7475568.

It is an arithmetic number, because the mean of its divisors is an integer number (712101190320).

Almost surely, 220597131492616 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 20597131492616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787238090240).

20597131492616 is an abundant number, since it is smaller than the sum of its proper divisors (24977344687864).

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

20597131492616 is a wasteful number, since it uses less digits than its factorization.

20597131492616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646134 (or 3646130 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 20597131492616 in words is "twenty trillion, five hundred ninety-seven billion, one hundred thirty-one million, four hundred ninety-two thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 3257 6514 13028 22799 26056 45598 91196 100967 182392 201934 403868 706769 807736 1413538 2827076 3642833 5654152 7285666 14571332 25499831 29142664 50999662 101999324 112927823 203998648 225855646 451711292 790494761 903422584 1580989522 3161979044 6323958088 11864707081 23729414162 47458828324 83052949567 94917656648 166105899134 332211798268 367805919511 664423596536 735611839022 1471223678044 2574641436577 2942447356088 5149282873154 10298565746308 20597131492616