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1354295442564 = 22321939572
BaseRepresentation
bin10011101101010010010…
…011000111110010000100
311210110200011210201022100
4103231102103013302010
5134142044113130224
62514053231232100
7166562463216321
oct23552223076204
94713604721270
101354295442564
1148239851a879
1219a57a978630
139a92ba4c14c
1449796577b48
152536594dac9
hex13b524c7c84

1354295442564 has 27 divisors (see below), whose sum is σ = 3423375574437. Its totient is φ = 451429486704.

The previous prime is 1354295442473. The next prime is 1354295442589. The reversal of 1354295442564 is 4652445924531.

The square root of 1354295442564 is 1163742.

It is a perfect power (a square), and thus also a powerful number.

1354295442564 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 29 + 54 + 4 + 2 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99017208900 + 1255278233664 = 314670^2 + 1120392^2 .

It is a super-2 number, since 2×13542954425642 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1354295442564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6885474 + ... + 7079430.

Almost surely, 21354295442564 is an apocalyptic number.

1354295442564 is the 1163742-nd square number.

It is an amenable number.

1354295442564 is an abundant number, since it is smaller than the sum of its proper divisors (2069080131873).

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

1354295442564 is an frugal number, since it uses more digits than its factorization.

1354295442564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387924 (or 193962 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 1354295442564 in words is "one trillion, three hundred fifty-four billion, two hundred ninety-five million, four hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 193957 387914 581871 775828 1163742 1745613 2327484 3491226 6982452 37619317849 75238635698 112857953547 150477271396 225715907094 338573860641 451431814188 677147721282 1354295442564