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113233172907904 = 2771511277655387
BaseRepresentation
bin11001101111110000100111…
…000011000100011110000000
3112211220222121111210001211021
4121233300213003010132000
5104320203014231023104
61040454333531555224
732564553404012110
oct3157604703043600
9484828544701737
10113233172907904
1133096a1213a835
12108494205bbb14
134b24ac49598ca
141dd672c8d9040
15d156c4850754
hex66fc270c4780

113233172907904 has 128 divisors (see below), whose sum is σ = 259718624709120. Its totient is φ = 48169298073600.

The previous prime is 113233172907863. The next prime is 113233172907913. The reversal of 113233172907904 is 409709271332311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 172445299 + ... + 173100685.

It is an arithmetic number, because the mean of its divisors is an integer number (2029051755540).

Almost surely, 2113233172907904 is an apocalyptic number.

113233172907904 is a gapful number since it is divisible by the number (14) 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 113233172907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129859312354560).

113233172907904 is an abundant number, since it is smaller than the sum of its proper divisors (146485451801216).

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

113233172907904 is a wasteful number, since it uses less digits than its factorization.

113233172907904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656836 (or 656824 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 113233172907904 in words is "one hundred thirteen trillion, two hundred thirty-three billion, one hundred seventy-two million, nine hundred seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 448 604 896 1057 1208 1277 2114 2416 2554 4228 4832 5108 8456 8939 9664 10216 16912 17878 19328 20432 33824 35756 40864 67648 71512 81728 135296 143024 163456 192827 286048 385654 572096 655387 771308 1144192 1310774 1349789 1542616 2621548 2699578 3085232 4587709 5243096 5399156 6170464 9175418 10486192 10798312 12340928 18350836 20972384 21596624 24681856 36701672 41944768 43193248 73403344 83889536 86386496 98963437 146806688 172772992 197926874 293613376 395853748 587226752 692744059 791707496 836929199 1385488118 1583414992 1673858398 2770976236 3166829984 3347716796 5541952472 5858504393 6333659968 6695433592 11083904944 11717008786 12667319936 13390867184 22167809888 23434017572 26781734368 44335619776 46868035144 53563468736 88671239552 93736070288 107126937472 126376309049 187472140576 252752618098 374944281152 505505236196 749888562304 884634163343 1011010472392 1769268326686 2022020944784 3538536653372 4044041889568 7077073306744 8088083779136 14154146613488 16176167558272 28308293226976 56616586453952 113233172907904