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135597751696 = 2411283692
BaseRepresentation
bin111111001001001000…
…0010111110110010000
3110222000001002111100201
41332102100113312100
54210201011023241
6142143122224544
712540144605101
oct1762220276620
9428001074321
10135597751696
1152563439900
12223434b5154
13ca2c822844
1467c4aca3a8
1537d94e1931
hex1f92417d90

135597751696 has 45 divisors (see below), whose sum is σ = 288810093313. Its totient is φ = 61627976960.

The previous prime is 135597751603. The next prime is 135597751699. The reversal of 135597751696 is 696157795531.

The square root of 135597751696 is 368236.

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

It can be written as a sum of positive squares in only one way, i.e., 98116791696 + 37480960000 = 313236^2 + 193600^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135597751699) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16198200 + ... + 16206568.

Almost surely, 2135597751696 is an apocalyptic number.

135597751696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135597751696 is the 368236-th square number.

It is an amenable number.

135597751696 is an abundant number, since it is smaller than the sum of its proper divisors (153212341617).

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

135597751696 is an frugal number, since it uses more digits than its factorization.

135597751696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16768 (or 8382 counting only the distinct ones).

The product of its digits is 53581500, while the sum is 64.

Multiplying 135597751696 by its sum of digits (64), we get a square (8678256108544 = 29458882).

The spelling of 135597751696 in words is "one hundred thirty-five billion, five hundred ninety-seven million, seven hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 8369 16738 33476 66952 92059 133904 184118 368236 736472 1012649 1472944 2025298 4050596 8101192 16202384 70040161 140080322 280160644 560321288 770441771 1120642576 1540883542 3081767084 6163534168 8474859481 12327068336 16949718962 33899437924 67798875848 135597751696