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103503755968 = 2653254911971
BaseRepresentation
bin110000001100101001…
…1011111101011000000
3100220011100120120212021
41200121103133223000
53143433430142333
6115314324411224
710322630260324
oct1403123375300
9326140516767
10103503755968
113a994198898
1218087246b14
1399b6692822
14501c519984
152a5bb3982d
hex18194dfac0

103503755968 has 56 divisors (see below), whose sum is σ = 209365138800. Its totient is φ = 50751267840.

The previous prime is 103503755941. The next prime is 103503755981. The reversal of 103503755968 is 869557305301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8640223 + ... + 8652193.

Almost surely, 2103503755968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103503755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104682569400).

103503755968 is an abundant number, since it is smaller than the sum of its proper divisors (105861382832).

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

103503755968 is a wasteful number, since it uses less digits than its factorization.

103503755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 103503755968 in words is "one hundred three billion, five hundred three million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2549 3392 5098 10196 11971 20392 23942 40784 47884 81568 95768 135097 163136 191536 270194 383072 540388 634463 766144 1080776 1268926 2161552 2537852 4323104 5075704 8646208 10151408 20302816 30514079 40605632 61028158 122056316 244112632 488225264 976450528 1617246187 1952901056 3234492374 6468984748 12937969496 25875938992 51751877984 103503755968