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1627005374020 = 2251342011489577
BaseRepresentation
bin10111101011010001000…
…100111100111001000100
312202112120210122121210001
4113223101010330321010
5203124101333432040
63243234055411044
7225355465331635
oct27532104747104
95675523577701
101627005374020
11578011132714
122233a8983a84
13ba56ca689b0
1458a6712b88c
152c4c737b59a
hex17ad113ce44

1627005374020 has 48 divisors (see below), whose sum is σ = 3680413572528. Its totient is φ = 600597043200.

The previous prime is 1627005374003. The next prime is 1627005374053. The reversal of 1627005374020 is 204735007261.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 284822881344 + 1342182492676 = 533688^2 + 1158526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347472 + ... + 1837048.

It is an arithmetic number, because the mean of its divisors is an integer number (76675282761).

Almost surely, 21627005374020 is an apocalyptic number.

1627005374020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1627005374020 is an abundant number, since it is smaller than the sum of its proper divisors (2053408198508).

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

1627005374020 is a wasteful number, since it uses less digits than its factorization.

1627005374020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493800 (or 1493798 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 1627005374020 in words is "one trillion, six hundred twenty-seven billion, five million, three hundred seventy-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4201 8402 16804 21005 42010 54613 84020 109226 218452 273065 546130 1092260 1489577 2979154 5958308 7447885 14895770 19364501 29791540 38729002 77458004 96822505 193645010 387290020 6257712977 12515425954 25030851908 31288564885 62577129770 81350268701 125154259540 162700537402 325401074804 406751343505 813502687010 1627005374020