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20634665132040 = 23351031669471289
BaseRepresentation
bin1001011000100011000011…
…11000101010000000001000
32201001122200021212201121020
410230101201320222000020
510201034243233211130
6111515233450312440
74226543144441541
oct454214170520010
981048607781536
1020634665132040
116636126582393
122393177728720
13b68ac097949b
14514a1a35d4c8
1525bb4d188e10
hex12c461e2a008

20634665132040 has 64 divisors (see below), whose sum is σ = 62505005097600. Its totient is φ = 5449154284032.

The previous prime is 20634665131979. The next prime is 20634665132063. The reversal of 20634665132040 is 4023156643602.

It is a happy number.

It is a super-2 number, since 2×206346651320402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20634665131983 and 20634665132001.

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, 834723285 + ... + 834748004.

It is an arithmetic number, because the mean of its divisors is an integer number (976640704650).

Almost surely, 220634665132040 is an apocalyptic number.

20634665132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20634665132040 is an abundant number, since it is smaller than the sum of its proper divisors (41870339965560).

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

20634665132040 is a wasteful number, since it uses less digits than its factorization.

20634665132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669471406 (or 1669471402 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 20634665132040 in words is "twenty trillion, six hundred thirty-four billion, six hundred sixty-five million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 1669471289 3338942578 5008413867 6677885156 8347356445 10016827734 13355770312 16694712890 20033655468 25042069335 33389425780 40067310936 50084138670 66778851560 100168277340 171955542767 200336554680 343911085534 515866628301 687822171068 859777713835 1031733256602 1375644342136 1719555427670 2063466513204 2579333141505 3439110855340 4126933026408 5158666283010 6878221710680 10317332566020 20634665132040