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2100458895616 = 2823923792
BaseRepresentation
bin11110100100001101000…
…110110011100100000000
321102210122120222111122201
4132210031012303210000
5233403214434124431
64244534255442544
7304516221012454
oct36441506634400
97383576874581
102100458895616
1173a888318a64
1229b0bb526454
131230c3166783
147393c846664
1539987661461
hex1e90d1b3900

2100458895616 has 81 divisors (see below), whose sum is σ = 4221467364891. Its totient is φ = 1043075722752.

The previous prime is 2100458895569. The next prime is 2100458895649. The reversal of 2100458895616 is 6165988540012.

The square root of 2100458895616 is 1449296.

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

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 5542107715 + ... + 5542108093.

Almost surely, 22100458895616 is an apocalyptic number.

2100458895616 is the 1449296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100458895616

2100458895616 is an abundant number, since it is smaller than the sum of its proper divisors (2121008469275).

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

2100458895616 is an frugal number, since it uses more digits than its factorization.

2100458895616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 2100458895616 in words is "two trillion, one hundred billion, four hundred fifty-eight million, eight hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 239 256 379 478 758 956 1516 1912 3032 3824 6064 7648 12128 15296 24256 30592 48512 57121 61184 90581 97024 114242 143641 181162 228484 287282 362324 456968 574564 724648 913936 1149128 1449296 1827872 2298256 2898592 3655744 4596512 5797184 7311488 9193024 11594368 14622976 18386048 21648859 23188736 34330199 36772096 43297718 68660398 86595436 137320796 173190872 274641592 346381744 549283184 692763488 1098566368 1385526976 2197132736 2771053952 4394265472 5542107904 8204917561 8788530944 16409835122 32819670244 65639340488 131278680976 262557361952 525114723904 1050229447808 2100458895616