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100946041649936 = 2474320960556821
BaseRepresentation
bin10110111100111101010100…
…111101000011101100010000
3111020102100101012120202122222
4112330331110331003230100
5101212344443130244221
6554405545450320212
730156053005401320
oct2674752475035420
9436370335522588
10100946041649936
112a189a8094302a
12b3a4029129068
13444322b573ba2
141acdb58d37280
15ba0c88de69ab
hex5bcf54f43b10

100946041649936 has 40 divisors (see below), whose sum is σ = 228721596041664. Its totient is φ = 42256482549120.

The previous prime is 100946041649927. The next prime is 100946041649939. The reversal of 100946041649936 is 639946140649001.

It is a super-2 number, since 2×1009460416499362 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100946041649939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10480273595 + ... + 10480283226.

Almost surely, 2100946041649936 is an apocalyptic number.

100946041649936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100946041649936 is an abundant number, since it is smaller than the sum of its proper divisors (127775554391728).

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

100946041649936 is a wasteful number, since it uses less digits than its factorization.

100946041649936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20960556879 (or 20960556873 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 62.

The spelling of 100946041649936 in words is "one hundred trillion, nine hundred forty-six billion, forty-one million, six hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 20960556821 41921113642 83842227284 146723897747 167684454568 293447795494 335368909136 586895590988 901303943303 1173791181976 1802607886606 2347582363952 3605215773212 6309127603121 7210431546424 12618255206242 14420863092848 25236510412484 50473020824968 100946041649936