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1580383534144 = 26295316066033
BaseRepresentation
bin10110111111110110001…
…100101111110001000000
312121002020122102202122211
4112333312030233301000
5201343111141043034
63210003531511504
7222115243252342
oct26776614576100
95532218382584
101580383534144
1155a267339338
122163572b8594
13b604cb460ac
14566c3321292
152b199377d64
hex16ff632fc40

1580383534144 has 56 divisors (see below), whose sum is σ = 3305425835160. Its totient is φ = 748548562944.

The previous prime is 1580383534069. The next prime is 1580383534183. The reversal of 1580383534144 is 4414353830851.

It can be written as a sum of positive squares in 4 ways, for example, as 362538860544 + 1217844673600 = 602112^2 + 1103560^2 .

It is a super-2 number, since 2×15803835341442 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7934649 + ... + 8131384.

Almost surely, 21580383534144 is an apocalyptic number.

It is an amenable number.

1580383534144 is an abundant number, since it is smaller than the sum of its proper divisors (1725042301016).

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

1580383534144 is a wasteful number, since it uses less digits than its factorization.

1580383534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066127 (or 16066117 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 1580383534144 in words is "one trillion, five hundred eighty billion, three hundred eighty-three million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 212 232 424 464 848 928 1537 1696 1856 3074 3392 6148 12296 24592 49184 98368 16066033 32132066 64264132 128528264 257056528 465914957 514113056 851499749 931829914 1028226112 1702999498 1863659828 3405998996 3727319656 6811997992 7454639312 13623995984 14909278624 24693492721 27247991968 29818557248 49386985442 54495983936 98773970884 197547941768 395095883536 790191767072 1580383534144