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105531537504 = 2535309207061
BaseRepresentation
bin110001001001000101…
…0110111100001100000
3101002101200012120012010
41202102022313201200
53212112033200004
6120251443032520
710424112161001
oct1422212674140
9332350176163
10105531537504
11408348900a8
121855236b740
139c4a816163
1451719671a8
152b29b88a89
hex18922b7860

105531537504 has 48 divisors (see below), whose sum is σ = 277073803440. Its totient is φ = 35170383360.

The previous prime is 105531537497. The next prime is 105531537523. The reversal of 105531537504 is 405735135501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1055315375042 (a number of 23 digits) contains 22 as substring.

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, 406134 + ... + 613194.

It is an arithmetic number, because the mean of its divisors is an integer number (5772370905).

Almost surely, 2105531537504 is an apocalyptic number.

It is an amenable number.

105531537504 is an abundant number, since it is smaller than the sum of its proper divisors (171542265936).

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

105531537504 is a wasteful number, since it uses less digits than its factorization.

105531537504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212383 (or 212375 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 105531537504 in words is "one hundred five billion, five hundred thirty-one million, five hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5309 10618 15927 21236 31854 42472 63708 84944 127416 169888 207061 254832 414122 509664 621183 828244 1242366 1656488 2484732 3312976 4969464 6625952 9938928 19877856 1099286849 2198573698 3297860547 4397147396 6595721094 8794294792 13191442188 17588589584 26382884376 35177179168 52765768752 105531537504