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22969687040 = 21054919137
BaseRepresentation
bin10101011001000110…
…011001110000000000
32012021210112000000122
4111121012121300000
5334020214441130
614315132035412
71442132055416
oct253106316000
965253460018
1022969687040
119817875933
124550602b68
132220a078c1
14117c87b2b6
158e68232e5
hex559199c00

22969687040 has 88 divisors (see below), whose sum is σ = 55218594672. Its totient is φ = 9168158720.

The previous prime is 22969686997. The next prime is 22969687051. The reversal of 22969687040 is 4078696922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2509352 + ... + 2518488.

Almost surely, 222969687040 is an apocalyptic number.

22969687040 is a gapful number since it is divisible by the number (20) 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 22969687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609297336).

22969687040 is an abundant number, since it is smaller than the sum of its proper divisors (32248907632).

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

22969687040 is an equidigital number, since it uses as much as digits as its factorization.

22969687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 22969687040 in words is "twenty-two billion, nine hundred sixty-nine million, six hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 491 512 640 982 1024 1280 1964 2455 2560 3928 4910 5120 7856 9137 9820 15712 18274 19640 31424 36548 39280 45685 62848 73096 78560 91370 125696 146192 157120 182740 251392 292384 314240 365480 502784 584768 628480 730960 1169536 1256960 1461920 2339072 2513920 2923840 4486267 4678144 5847680 8972534 9356288 11695360 17945068 22431335 23390720 35890136 44862670 46781440 71780272 89725340 143560544 179450680 287121088 358901360 574242176 717802720 1148484352 1435605440 2296968704 2871210880 4593937408 5742421760 11484843520 22969687040