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103580955552 = 2532937205803
BaseRepresentation
bin110000001110111100…
…1111111001110100000
3100220100201211201210010
41200131321333032200
53144113211034202
6115330123204520
710324555411104
oct1403571771640
9326321751703
10103580955552
113aa23826aa8
12180a9076740
1399c9682359
145028893904
152a637d876c
hex181de7f3a0

103580955552 has 48 divisors (see below), whose sum is σ = 281275878240. Its totient is φ = 33336398592.

The previous prime is 103580955521. The next prime is 103580955571. The reversal of 103580955552 is 255559085301.

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

It is a super-3 number, since 3×1035809555523 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 18600118 + ... + 18605685.

It is an arithmetic number, because the mean of its divisors is an integer number (5859914130).

Almost surely, 2103580955552 is an apocalyptic number.

103580955552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103580955552 is an abundant number, since it is smaller than the sum of its proper divisors (177694922688).

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

103580955552 is a wasteful number, since it uses less digits than its factorization.

103580955552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37205845 (or 37205837 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 48.

The spelling of 103580955552 in words is "one hundred three billion, five hundred eighty million, nine hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 37205803 74411606 111617409 148823212 223234818 297646424 446469636 595292848 892939272 1078968287 1190585696 1785878544 2157936574 3236904861 3571757088 4315873148 6473809722 8631746296 12947619444 17263492592 25895238888 34526985184 51790477776 103580955552