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10205532603616 = 257222728672381
BaseRepresentation
bin1001010010000010100100…
…1001010100010011100000
31100010122021010002022200211
42110200221021110103200
52314201412321303431
633412205034023504
72102216416554100
oct224405111242340
940118233068624
1010205532603616
1132851621081a9
121189a98277b94
135904ba76543c
14273d43d13200
1512a708e772b1
hex948292544e0

10205532603616 has 72 divisors (see below), whose sum is σ = 23475455417736. Its totient is φ = 4354531695360.

The previous prime is 10205532603599. The next prime is 10205532603733. The reversal of 10205532603616 is 61630623550201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13980255 + ... + 14692126.

It is an arithmetic number, because the mean of its divisors is an integer number (326047991913).

Almost surely, 210205532603616 is an apocalyptic number.

10205532603616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10205532603616 is an abundant number, since it is smaller than the sum of its proper divisors (13269922814120).

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

10205532603616 is a wasteful number, since it uses less digits than its factorization.

10205532603616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672632 (or 28672617 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 10205532603616 in words is "ten trillion, two hundred five billion, five hundred thirty-two million, six hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 227 392 454 784 908 1568 1589 1816 3178 3632 6356 7264 11123 12712 22246 25424 44492 50848 88984 177968 355936 28672381 57344762 114689524 200706667 229379048 401413334 458758096 802826668 917516192 1404946669 1605653336 2809893338 3211306672 5619786676 6422613344 6508630487 11239573352 13017260974 22479146704 26034521948 44958293408 45560413409 52069043896 91120826818 104138087792 182241653636 208276175584 318922893863 364483307272 637845787726 728966614544 1275691575452 1457933229088 2551383150904 5102766301808 10205532603616