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29656145920 = 21351275701
BaseRepresentation
bin11011100111101001…
…001110000000000000
32211112210021022020211
4123213221032000000
5441213433132140
621342430043504
72066623036552
oct334751160000
984483238224
1029656145920
1111639137405
1258b7949594
132a4808144b
1416148db4d2
15b888562ea
hex6e7a4e000

29656145920 has 112 divisors (see below), whose sum is σ = 71743385088. Its totient is φ = 11766988800.

The previous prime is 29656145903. The next prime is 29656145933. The reversal of 29656145920 is 2954165692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5199070 + ... + 5204770.

Almost surely, 229656145920 is an apocalyptic number.

29656145920 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 29656145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35871692544).

29656145920 is an abundant number, since it is smaller than the sum of its proper divisors (42087239168).

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

29656145920 is an equidigital number, since it uses as much as digits as its factorization.

29656145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 29656145920 in words is "twenty-nine billion, six hundred fifty-six million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2048 2540 2560 4064 4096 5080 5120 5701 8128 8192 10160 10240 11402 16256 20320 20480 22804 28505 32512 40640 40960 45608 57010 65024 81280 91216 114020 130048 162560 182432 228040 260096 325120 364864 456080 520192 650240 724027 729728 912160 1040384 1300480 1448054 1459456 1824320 2600960 2896108 2918912 3620135 3648640 5201920 5792216 5837824 7240270 7297280 11584432 11675648 14480540 14594560 23168864 23351296 28961080 29189120 46337728 46702592 57922160 58378240 92675456 115844320 116756480 185350912 231688640 233512960 370701824 463377280 741403648 926754560 1482807296 1853509120 2965614592 3707018240 5931229184 7414036480 14828072960 29656145920