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401664727776 = 253131718932161
BaseRepresentation
bin1011101100001010001…
…01010101101011100000
31102101202201001022012010
411312011011111223200
523040102132242101
6504304445032520
741006424565524
oct5660505255340
91371681038163
10401664727776
111453882a3a84
1265a18855740
132bb524b7c70
1415625305d84
15a6acb312d6
hex5d85155ae0

401664727776 has 96 divisors (see below), whose sum is σ = 1202268015648. Its totient is φ = 116319191040.

The previous prime is 401664727703. The next prime is 401664727811. The reversal of 401664727776 is 677727466104.

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

It is a super-2 number, since 2×4016647277762 (a number of 24 digits) contains 22 as substring.

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, 9444865 + ... + 9487296.

It is an arithmetic number, because the mean of its divisors is an integer number (12523625163).

Almost surely, 2401664727776 is an apocalyptic number.

It is an amenable number.

401664727776 is an abundant number, since it is smaller than the sum of its proper divisors (800603287872).

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

401664727776 is a wasteful number, since it uses less digits than its factorization.

401664727776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18932204 (or 18932196 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 57.

The spelling of 401664727776 in words is "four hundred one billion, six hundred sixty-four million, seven hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 18932161 37864322 56796483 75728644 113592966 151457288 227185932 246118093 302914576 321846737 454371864 492236186 605829152 643693474 738354279 908743728 965540211 984472372 1287386948 1476708558 1817487456 1931080422 1968944744 2574773896 2953417116 3862160844 3937889488 4184007581 5149547792 5906834232 7724321688 7875778976 8368015162 10299095584 11813668464 12552022743 15448643376 16736030324 23627336928 25104045486 30897286752 33472060648 50208090972 66944121296 100416181944 133888242592 200832363888 401664727776