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459680023132032 = 2733493430038377
BaseRepresentation
bin110100010000100111001100…
…0011111010011011110000000
32020021120222111011201120022010
41220201032120133103132000
5440222344141410211112
64305354030510412520
7165552533332364013
oct15041163037233600
92207528434646263
10459680023132032
1112351722625196a
1243681099801140
13169658426318c1
1481728bba5937a
1538224eb82563c
hex1a213987d3780

459680023132032 has 64 divisors (see below), whose sum is σ = 1224523700946000. Its totient is φ = 152787629420544.

The previous prime is 459680023132021. The next prime is 459680023132067. The reversal of 459680023132032 is 230231320086954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4596800231320322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714885173 + ... + 1715153204.

Almost surely, 2459680023132032 is an apocalyptic number.

It is an amenable number.

459680023132032 is an abundant number, since it is smaller than the sum of its proper divisors (764843677813968).

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

459680023132032 is a wasteful number, since it uses less digits than its factorization.

459680023132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430038743 (or 3430038731 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 459680023132032 in words is "four hundred fifty-nine trillion, six hundred eighty billion, twenty-three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 349 384 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 22336 33504 44672 67008 134016 3430038377 6860076754 10290115131 13720153508 20580230262 27440307016 41160460524 54880614032 82320921048 109761228064 164641842096 219522456128 329283684192 439044912256 658567368384 1197083393573 1317134736768 2394166787146 3591250180719 4788333574292 7182500361438 9576667148584 14365000722876 19153334297168 28730001445752 38306668594336 57460002891504 76613337188672 114920005783008 153226674377344 229840011566016 459680023132032