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107417995552 = 2579747910321
BaseRepresentation
bin110010000001010011…
…1001000100100100000
3101021021010220120010201
41210002213020210200
53224443001324202
6121202552234544
710521626616460
oct1440247104440
9337233816121
10107417995552
1141612726a3a
121899a09ba54
13a18b5b7c1a
1452b0307ba0
152bda5be387
hex19029c8920

107417995552 has 96 divisors (see below), whose sum is σ = 244715627520. Its totient is φ = 45462159360.

The previous prime is 107417995459. The next prime is 107417995579. The reversal of 107417995552 is 255599714701.

It is a junction number, because it is equal to n+sod(n) for n = 107417995493 and 107417995502.

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, 10402552 + ... + 10412872.

It is an arithmetic number, because the mean of its divisors is an integer number (2549121120).

Almost surely, 2107417995552 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 107417995552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122357813760).

107417995552 is an abundant number, since it is smaller than the sum of its proper divisors (137297631968).

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

107417995552 is a wasteful number, since it uses less digits than its factorization.

107417995552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 55.

The spelling of 107417995552 in words is "one hundred seven billion, four hundred seventeen million, nine hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 479 679 776 958 1358 1552 1916 2716 3104 3353 3832 5432 6706 7664 10321 10864 13412 15328 20642 21728 26824 41284 46463 53648 72247 82568 92926 107296 144494 165136 185852 288988 325241 330272 371704 577976 650482 743408 1001137 1155952 1300964 1486816 2002274 2311904 2601928 4004548 4943759 5203856 7007959 8009096 9887518 10407712 14015918 16018192 19775036 28031836 32036384 34606313 39550072 56063672 69212626 79100144 112127344 138425252 158200288 224254688 276850504 479544623 553701008 959089246 1107402016 1918178492 3356812361 3836356984 6713624722 7672713968 13427249444 15345427936 26854498888 53708997776 107417995552