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428906012392 = 2311137112741579
BaseRepresentation
bin1100011110111001100…
…10100101111011101000
31112000002012022221111101
412033130302211323220
524011344414344032
6525011532211144
742662455644424
oct6173462457350
91460065287441
10428906012392
11155997298340
126b15b909ab4
13315a41792a0
1416a8b1d5b84
15b254477de7
hex63dcca5ee8

428906012392 has 128 divisors (see below), whose sum is σ = 965667225600. Its totient is φ = 176024620800.

The previous prime is 428906012377. The next prime is 428906012399. The reversal of 428906012392 is 293210609824.

It is not an unprimeable number, because it can be changed into a prime (428906012399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10294659 + ... + 10336237.

It is an arithmetic number, because the mean of its divisors is an integer number (7544275200).

Almost surely, 2428906012392 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 428906012392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482833612800).

428906012392 is an abundant number, since it is smaller than the sum of its proper divisors (536761213208).

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

428906012392 is a wasteful number, since it uses less digits than its factorization.

428906012392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41807 (or 41803 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 428906012392 in words is "four hundred twenty-eight billion, nine hundred six million, twelve thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 127 142 143 254 284 286 508 568 572 781 923 1016 1144 1397 1562 1651 1846 2794 3124 3302 3692 5588 6248 6604 7384 9017 10153 11176 13208 18034 18161 20306 36068 36322 40612 41579 72136 72644 81224 83158 99187 117221 145288 166316 198374 234442 332632 396748 457369 468884 540527 793496 914738 937768 1081054 1289431 1829476 2162108 2578862 2952109 3658952 4324216 5157724 5280533 5904218 5945797 10315448 10561066 11808436 11891594 21122132 23616872 23783188 32473199 38377417 42244264 47566376 58085863 64946398 68646929 76754834 116171726 129892796 137293858 153509668 232343452 259785592 274587716 307019336 374917843 422151587 464686904 549175432 749835686 755116219 844303174 1499671372 1510232438 1688606348 2999342744 3020464876 3377212696 4124096273 4873931959 6040929752 8248192546 9747863918 16496385092 19495727836 32992770184 38991455672 53613251549 107226503098 214453006196 428906012392