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3629390769216 = 2632793792
BaseRepresentation
bin110100110100001000100…
…011000010110001000000
3110211222002111001002210100
4310310020203002301000
5433430443014103331
611415152532002400
7523133454344652
oct64641043026100
913758074032710
103629390769216
11117a241520193
124a7497760400
132043335741c4
14c79407186d2
156461e997ae6
hex34d088c2c40

3629390769216 has 63 divisors (see below), whose sum is σ = 10403124389671. Its totient is φ = 1209781682304.

The previous prime is 3629390769187. The next prime is 3629390769217. The reversal of 3629390769216 is 6129670939263.

The square root of 3629390769216 is 1905096.

It is a perfect power (a square), and thus also a powerful number.

3629390769216 is a `hidden beast` number, since 3 + 6 + 29 + 390 + 7 + 6 + 9 + 216 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3629390769217) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45682615 + ... + 45761993.

Almost surely, 23629390769216 is an apocalyptic number.

3629390769216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3629390769216 is the 1905096-th square number.

It is an amenable number.

3629390769216 is an abundant number, since it is smaller than the sum of its proper divisors (6773733620455).

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

3629390769216 is an frugal number, since it uses more digits than its factorization.

3629390769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158776 (or 79384 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 3629390769216 in words is "three trillion, six hundred twenty-nine billion, three hundred ninety million, seven hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 79379 158758 238137 317516 476274 635032 714411 952548 1270064 1428822 1905096 2540128 2857644 3810192 5080256 5715288 7620384 11430576 15240768 22861152 45722304 6301025641 12602051282 18903076923 25204102564 37806153846 50408205128 56709230769 75612307692 100816410256 113418461538 151224615384 201632820512 226836923076 302449230768 403265641024 453673846152 604898461536 907347692304 1209796923072 1814695384608 3629390769216