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645642180352 = 2813226785577
BaseRepresentation
bin10010110010100110100…
…01011101011100000000
32021201111220200001101101
421121103101131130000
541034233344232402
61212334240344144
764434420661141
oct11312321353400
92251456601341
10645642180352
112298a71a7204
12a5168315054
1348b64915310
142336bd19ac8
1511bdbd5bb87
hex965345d700

645642180352 has 72 divisors (see below), whose sum is σ = 1388526327216. Its totient is φ = 297853771776.

The previous prime is 645642180341. The next prime is 645642180371. The reversal of 645642180352 is 253081246546.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7501788 + ... + 7587364.

It is an arithmetic number, because the mean of its divisors is an integer number (19285087878).

Almost surely, 2645642180352 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 645642180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694263163608).

645642180352 is an abundant number, since it is smaller than the sum of its proper divisors (742884146864).

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

645642180352 is a wasteful number, since it uses less digits than its factorization.

645642180352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87873 (or 87859 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 645642180352 in words is "six hundred forty-five billion, six hundred forty-two million, one hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2267 3328 4534 9068 18136 29471 36272 58942 72544 85577 117884 145088 171154 235768 290176 342308 471536 580352 684616 943072 1112501 1369232 1886144 2225002 2738464 3772288 4450004 5476928 7544576 8900008 10953856 17800016 21907712 35600032 71200064 142400128 194003059 284800256 388006118 776012236 1552024472 2522039767 3104048944 5044079534 6208097888 10088159068 12416195776 20176318136 24832391552 40352636272 49664783104 80705272544 161410545088 322821090176 645642180352