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5738578241456 = 24171033162712553
BaseRepresentation
bin101001110000001110111…
…1010101110011110110000
3202022121021101101020120202
41103200131322232132300
51223010102012211311
620112133315254332
71131412214141624
oct123403572563660
922277241336522
105738578241456
1119127988a3a35
127882122aa3a8
133281b7b872c8
1415ba6a4c1184
159e41856de3b
hex5381deae7b0

5738578241456 has 80 divisors (see below), whose sum is σ = 11792102962464. Its totient is φ = 2696020180992.

The previous prime is 5738578241381. The next prime is 5738578241467. The reversal of 5738578241456 is 6541428758375.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5738578241392 and 5738578241401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457141676 + ... + 457154228.

Almost surely, 25738578241456 is an apocalyptic number.

It is an amenable number.

5738578241456 is an abundant number, since it is smaller than the sum of its proper divisors (6053524721008).

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

5738578241456 is a wasteful number, since it uses less digits than its factorization.

5738578241456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238 (or 15232 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 65.

The spelling of 5738578241456 in words is "five trillion, seven hundred thirty-eight billion, five hundred seventy-eight million, two hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 1033 1627 2066 3254 4132 6508 8264 12553 13016 16528 17561 25106 26032 27659 35122 50212 55318 70244 100424 110636 140488 200848 213401 221272 280976 426802 442544 853604 1680691 1707208 3361382 3414416 6722764 12967249 13445528 20423731 25934498 26891056 28571747 40847462 51868996 57143494 81694924 103737992 114286988 163389848 207475984 220443233 228573976 326779696 347203427 440886466 457147952 694406854 881772932 1388813708 1763545864 2777627416 3527091728 5555254832 21097714123 42195428246 84390856492 168781712984 337563425968 358661140091 717322280182 1434644560364 2869289120728 5738578241456