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401179473664 = 283159856811
BaseRepresentation
bin1011101011010000010…
…10001111011100000000
31102100111212221211200121
411311220022033130000
523033103421124124
6504144352230024
740661413155514
oct5655012173400
91370455854617
10401179473664
11145159399422
126590223b314
132baa5ac6958
14155baaac144
15a68022c2e4
hex5d6828f700

401179473664 has 72 divisors (see below), whose sum is σ = 840635389440. Its totient is φ = 190828723200.

The previous prime is 401179473623. The next prime is 401179473671. The reversal of 401179473664 is 466374971104.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39819 + ... + 896629.

It is an arithmetic number, because the mean of its divisors is an integer number (11675491520).

Almost surely, 2401179473664 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 401179473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420317694720).

401179473664 is an abundant number, since it is smaller than the sum of its proper divisors (439455915776).

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

401179473664 is an equidigital number, since it uses as much as digits as its factorization.

401179473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856917 (or 856903 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 401179473664 in words is "four hundred one billion, one hundred seventy-nine million, four hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 256 472 496 944 992 1829 1888 1984 3658 3776 3968 7316 7552 7936 14632 15104 29264 58528 117056 234112 468224 856811 1713622 3427244 6854488 13708976 26561141 27417952 50551849 53122282 54835904 101103698 106244564 109671808 202207396 212489128 219343616 404414792 424978256 808829584 849956512 1567107319 1617659168 1699913024 3134214638 3235318336 3399826048 6268429276 6470636672 6799652096 12536858552 12941273344 25073717104 50147434208 100294868416 200589736832 401179473664