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424376048704 = 26471372574007
BaseRepresentation
bin1100010110011101100…
…10001001110001000000
31111120101111101221112111
412023032302021301000
523423110232024304
6522542231305104
742442301616256
oct6131662116100
91446344357474
10424376048704
11153a822415a3
126a2b681b194
13310318111ba
141677b72a5d6
15b08b91b704
hex62cec89c40

424376048704 has 112 divisors (see below), whose sum is σ = 869904271872. Its totient is φ = 205304102912.

The previous prime is 424376048699. The next prime is 424376048713. The reversal of 424376048704 is 407840673424.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 105906669 + ... + 105910675.

Almost surely, 2424376048704 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 424376048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434952135936).

424376048704 is an abundant number, since it is smaller than the sum of its proper divisors (445528223168).

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

424376048704 is a wasteful number, since it uses less digits than its factorization.

424376048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 49.

The spelling of 424376048704 in words is "four hundred twenty-four billion, three hundred seventy-six million, forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 137 188 257 274 376 514 548 752 1028 1096 1504 2056 2192 3008 4007 4112 4384 6439 8014 8224 8768 12079 12878 16028 16448 24158 25756 32056 35209 48316 51512 64112 70418 96632 103024 128224 140836 188329 193264 206048 256448 281672 376658 386528 412096 548959 563344 753316 773056 1029799 1097918 1126688 1506632 1654823 2059598 2195836 2253376 3013264 3309646 4119196 4391672 6026528 6619292 8238392 8783344 12053056 13238584 16476784 17566688 25801073 26477168 32953568 35133376 48400553 51602146 52954336 65907136 96801106 103204292 105908672 141082463 193602212 206408584 282164926 387204424 412817168 564329852 774408848 825634336 1128659704 1548817696 1651268672 2257319408 3097635392 4514638816 6630875761 9029277632 13261751522 26523503044 53047006088 106094012176 212188024352 424376048704