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400732996992 = 27319252121787
BaseRepresentation
bin1011101010011011000…
…11000100010110000000
31102022100202211110211120
411311031203010112000
523031200121400432
6504032202512240
740644352162326
oct5651543042600
91368322743746
10400732996992
11144a4a369939
12657b8805680
132ba34461883
1415577689d16
15a655e37c2c
hex5d4d8c4580

400732996992 has 128 divisors (see below), whose sum is σ = 1120966454400. Its totient is φ = 126491258880.

The previous prime is 400732996991. The next prime is 400732996999. The reversal of 400732996992 is 299699237004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400732996991) 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, 18382323 + ... + 18404109.

It is an arithmetic number, because the mean of its divisors is an integer number (8757550425).

Almost surely, 2400732996992 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 400732996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560483227200).

400732996992 is an abundant number, since it is smaller than the sum of its proper divisors (720233457408).

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

400732996992 is a wasteful number, since it uses less digits than its factorization.

400732996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24344 (or 24332 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 400732996992 in words is "four hundred billion, seven hundred thirty-two million, nine hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2521 3648 5042 7296 7563 10084 15126 20168 21787 30252 40336 43574 47899 60504 65361 80672 87148 95798 121008 130722 143697 161344 174296 191596 242016 261444 287394 322688 348592 383192 413953 484032 522888 574788 697184 766384 827906 968064 1045776 1149576 1241859 1394368 1532768 1655812 2091552 2299152 2483718 2788736 3065536 3311624 4183104 4598304 4967436 6131072 6623248 8366208 9196608 9934872 13246496 18393216 19869744 26492992 39739488 52985984 54925027 79478976 109850054 158957952 164775081 219700108 329550162 439400216 659100324 878800432 1043575513 1318200648 1757600864 2087151026 2636401296 3130726539 3515201728 4174302052 5272802592 6261453078 7030403456 8348604104 10545605184 12522906156 16697208208 21091210368 25045812312 33394416416 50091624624 66788832832 100183249248 133577665664 200366498496 400732996992