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400472448268704 = 25373119223907847
BaseRepresentation
bin101101100001110100100001…
…0000001010111100110100000
31221111221210101111000212021220
41123003221002001113212200
5404442320033224044304
63535422300345015040
7150232115411643540
oct13303510201274640
91844853344025256
10400472448268704
1110666a458830629
1238aba2b0784480
131425c50b5bc736
1470c6d81649320
15314731a045ad9
hex16c3a420579a0

400472448268704 has 96 divisors (see below), whose sum is σ = 1240172743090176. Its totient is φ = 110729709192960.

The previous prime is 400472448268703. The next prime is 400472448268727. The reversal of 400472448268704 is 407862844274004.

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 (400472448268703) 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, 9611933092 + ... + 9611974755.

It is an arithmetic number, because the mean of its divisors is an integer number (12918466073856).

Almost surely, 2400472448268704 is an apocalyptic number.

It is an amenable number.

400472448268704 is an abundant number, since it is smaller than the sum of its proper divisors (839700294821472).

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

400472448268704 is a wasteful number, since it uses less digits than its factorization.

400472448268704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19223907898 (or 19223907890 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 60.

The spelling of 400472448268704 in words is "four hundred trillion, four hundred seventy-two billion, four hundred forty-eight million, two hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 19223907847 38447815694 57671723541 76895631388 115343447082 134567354929 153791262776 230686894164 269134709858 307582525552 403702064787 461373788328 538269419716 595941143257 615165051104 807404129574 922747576656 1076538839432 1191882286514 1614808259148 1787823429771 1845495153312 2153077678864 2383764573028 3229616518296 3575646859542 4171588002799 4306155357728 4767529146056 6459233036592 7151293719084 8343176005598 9535058292112 12514764008397 12918466073184 14302587438168 16686352011196 19070116584224 25029528016794 28605174876336 33372704022392 50059056033588 57210349752672 66745408044784 100118112067176 133490816089568 200236224134352 400472448268704