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454361620704 = 2535389300633
BaseRepresentation
bin1101001110010100001…
…00000010000011100000
31121102210020112211102020
412213022010002003200
524421013033330304
6544421510221440
744553335024055
oct6471204020340
91542706484366
10454361620704
1116576a320662
1274084954880
1333accbc4104
1417dc3c9b02c
15bc441455d9
hex69ca1020e0

454361620704 has 48 divisors (see below), whose sum is σ = 1215203027472. Its totient is φ = 148596251648.

The previous prime is 454361620693. The next prime is 454361620751. The reversal of 454361620704 is 407026163454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4543616207042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44645229 + ... + 44655404.

It is an arithmetic number, because the mean of its divisors is an integer number (25316729739).

Almost surely, 2454361620704 is an apocalyptic number.

It is an amenable number.

454361620704 is an abundant number, since it is smaller than the sum of its proper divisors (760841406768).

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

454361620704 is a wasteful number, since it uses less digits than its factorization.

454361620704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89300699 (or 89300691 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 454361620704 in words is "four hundred fifty-four billion, three hundred sixty-one million, six hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 89300633 178601266 267901899 357202532 535803798 714405064 1071607596 1428810128 2143215192 2857620256 4286430384 4732933549 8572860768 9465867098 14198800647 18931734196 28397601294 37863468392 56795202588 75726936784 113590405176 151453873568 227180810352 454361620704