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10003774368 = 253714999931
BaseRepresentation
bin10010101000100010…
…10111101110100000
3221211011212101120210
421110101113232200
5130441431234433
64332355334120
7502621451640
oct112421275640
927734771523
1010003774368
114273962825
121b322b1340
13c3570c423
146ac866520
153d83a6463
hex254457ba0

10003774368 has 96 divisors (see below), whose sum is σ = 30034368000. Its totient is φ = 2856026880.

The previous prime is 10003774367. The next prime is 10003774381. The reversal of 10003774368 is 86347730001.

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

It is not an unprimeable number, because it can be changed into a prime (10003774367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002363 + ... + 1012293.

It is an arithmetic number, because the mean of its divisors is an integer number (312858000).

Almost surely, 210003774368 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 10003774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017184000).

10003774368 is an abundant number, since it is smaller than the sum of its proper divisors (20030593632).

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

10003774368 is a wasteful number, since it uses less digits than its factorization.

10003774368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10003774368 in words is "ten billion, three million, seven hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1499 2998 4497 5996 8994 9931 10493 11992 17988 19862 20986 23984 29793 31479 35976 39724 41972 47968 59586 62958 69517 71952 79448 83944 119172 125916 139034 143904 158896 167888 208551 238344 251832 278068 317792 335776 417102 476688 503664 556136 834204 953376 1007328 1112272 1668408 2224544 3336816 6673632 14886569 29773138 44659707 59546276 89319414 104205983 119092552 178638828 208411966 238185104 312617949 357277656 416823932 476370208 625235898 714555312 833647864 1250471796 1429110624 1667295728 2500943592 3334591456 5001887184 10003774368