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640058553456 = 243725765311351
BaseRepresentation
bin10010101000001100111…
…01100111010001110000
32021012002210002102020020
421110012131213101300
540441314442202311
61210012220043440
764146150636420
oct11240635472160
92235083072206
10640058553456
112274a1404723
12a406a393580
1348484ba148a
1422d9c534480
15119b1a6dc06
hex9506767470

640058553456 has 160 divisors (see below), whose sum is σ = 1900122098688. Its totient is φ = 181867315200.

The previous prime is 640058553437. The next prime is 640058553523. The reversal of 640058553456 is 654355850046.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 640058553399 and 640058553408.

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, 56382181 + ... + 56393531.

Almost surely, 2640058553456 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 640058553456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950061049344).

640058553456 is an abundant number, since it is smaller than the sum of its proper divisors (1260063545232).

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

640058553456 is a wasteful number, since it uses less digits than its factorization.

640058553456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 640058553456 in words is "six hundred forty billion, fifty-eight million, five hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 257 336 514 653 771 1028 1306 1542 1799 1959 2056 2612 3084 3598 3918 4112 4571 5224 5397 6168 7196 7836 9142 10448 10794 11351 12336 13713 14392 15672 18284 21588 22702 27426 28784 31344 34053 36568 43176 45404 54852 68106 73136 79457 86352 90808 109704 136212 158914 167821 181616 219408 238371 272424 317828 335642 476742 503463 544848 635656 671284 953484 1006926 1174747 1271312 1342568 1906968 2013852 2349494 2685136 2917207 3524241 3813936 4027704 4698988 5834414 7048482 7412203 8055408 8751621 9397976 11668828 14096964 14824406 17503242 18795952 20420449 22236609 23337656 28193928 29648812 35006484 40840898 44473218 46675312 51885421 56387856 59297624 61261347 70012968 81681796 88946436 103770842 118595248 122522694 140025936 155656263 163363592 177892872 207541684 245045388 311312526 326727184 355785744 415083368 490090776 622625052 830166736 980181552 1245250104 1904936171 2490500208 3809872342 5714808513 7619744684 11429617026 13334553197 15239489368 22859234052 26669106394 30478978736 40003659591 45718468104 53338212788 80007319182 91436936208 106676425576 160014638364 213352851152 320029276728 640058553456