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426433074552 = 233321125137277
BaseRepresentation
bin1100011010010010110…
…01000101010101111000
31111202200212001200112000
412031021121011111320
523441313331341202
6523522312421000
742544260220212
oct6151131052570
91452625050460
10426433074552
11154938398561
126a78b6a7760
133129ba33864
14168d49cb5b2
15b15c2e591c
hex6349645578

426433074552 has 128 divisors (see below), whose sum is σ = 1194923923200. Its totient is φ = 140903280000.

The previous prime is 426433074539. The next prime is 426433074593. The reversal of 426433074552 is 255470334624.

426433074552 is a `hidden beast` number, since 4 + 2 + 64 + 3 + 30 + 7 + 4 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 426433074498 and 426433074507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11420938 + ... + 11458214.

It is an arithmetic number, because the mean of its divisors is an integer number (9335343150).

Almost surely, 2426433074552 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 426433074552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597461961600).

426433074552 is an abundant number, since it is smaller than the sum of its proper divisors (768490848648).

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

426433074552 is a wasteful number, since it uses less digits than its factorization.

426433074552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37754 (or 37744 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 426433074552 in words is "four hundred twenty-six billion, four hundred thirty-three million, seventy-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 251 422 502 633 753 844 1004 1266 1506 1688 1899 2008 2259 2532 3012 3798 4518 5064 5697 6024 6777 7596 9036 11394 13554 15192 18072 22788 27108 37277 45576 52961 54216 74554 105922 111831 149108 158883 211844 223662 298216 317766 335493 423688 447324 476649 635532 670986 894648 953298 1006479 1271064 1341972 1429947 1906596 2012958 2683944 2859894 3813192 4025916 5719788 7865447 8051832 9356527 11439576 15730894 18713054 23596341 28069581 31461788 37426108 47192682 56139162 62923576 70789023 74852216 84208743 94385364 112278324 141578046 168417486 188770728 212367069 224556648 252626229 283156092 336834972 424734138 505252458 566312184 673669944 849468276 1010504916 1698936552 1974227197 2021009832 3948454394 5922681591 7896908788 11845363182 15793817576 17768044773 23690726364 35536089546 47381452728 53304134319 71072179092 106608268638 142144358184 213216537276 426433074552