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103775513376 = 2534357144027
BaseRepresentation
bin110000010100110000…
…0001010101100100000
3100220212021221021221110
41200221200022230200
53200013012412001
6115401313223320
710332440211063
oct1405140125440
9326767837843
10103775513376
1140013632197
1218142261b40
139a2aa82522
14504665a8da
152a7591a3d6
hex182980ab20

103775513376 has 96 divisors (see below), whose sum is σ = 279240369408. Its totient is φ = 33727438080.

The previous prime is 103775513351. The next prime is 103775513381. The reversal of 103775513376 is 673315577301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2335075 + ... + 2379101.

It is an arithmetic number, because the mean of its divisors is an integer number (2908753848).

Almost surely, 2103775513376 is an apocalyptic number.

103775513376 is a gapful number since it is divisible by the number (16) 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 103775513376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139620184704).

103775513376 is an abundant number, since it is smaller than the sum of its proper divisors (175464856032).

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

103775513376 is a wasteful number, since it uses less digits than its factorization.

103775513376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44654 (or 44646 counting only the distinct ones).

The product of its (nonzero) digits is 1389150, while the sum is 48.

The spelling of 103775513376 in words is "one hundred three billion, seven hundred seventy-five million, five hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 571 688 1032 1142 1376 1713 2064 2284 3426 4128 4568 6852 9136 13704 18272 24553 27408 44027 49106 54816 73659 88054 98212 132081 147318 176108 196424 264162 294636 352216 392848 528324 589272 704432 785696 1056648 1178544 1408864 1893161 2113296 2357088 3786322 4226592 5679483 7572644 11358966 15145288 22717932 25139417 30290576 45435864 50278834 60581152 75418251 90871728 100557668 150836502 181743456 201115336 301673004 402230672 603346008 804461344 1080994931 1206692016 2161989862 2413384032 3242984793 4323979724 6485969586 8647959448 12971939172 17295918896 25943878344 34591837792 51887756688 103775513376