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516011161135 = 519298916312911
BaseRepresentation
bin1111000001001001010…
…10010111011000101111
31211022220201000222020111
413200210222113120233
531423242324124020
61033015142000451
752165144333411
oct7404452273057
91738821028214
10516011161135
11189925936878
128400b116127
1339876311212
141ad9185c9b1
15d6515d0d5a
hex7824a9762f

516011161135 has 64 divisors (see below), whose sum is σ = 686092032000. Its totient is φ = 371034639360.

The previous prime is 516011161129. The next prime is 516011161147. The reversal of 516011161135 is 531161110615.

It is a de Polignac number, because none of the positive numbers 2k-516011161135 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516011161097 and 516011161106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39960330 + ... + 39973240.

It is an arithmetic number, because the mean of its divisors is an integer number (10720188000).

Almost surely, 2516011161135 is an apocalyptic number.

516011161135 is a deficient number, since it is larger than the sum of its proper divisors (170080870865).

516011161135 is a wasteful number, since it uses less digits than its factorization.

516011161135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13216.

The product of its (nonzero) digits is 2700, while the sum is 31.

The spelling of 516011161135 in words is "five hundred sixteen billion, eleven million, one hundred sixty-one thousand, one hundred thirty-five".

Divisors: 1 5 19 29 89 95 145 163 445 551 815 1691 2581 2755 3097 4727 8455 12905 12911 14507 15485 23635 49039 64555 72535 89813 245195 245309 275633 374419 420703 449065 1149079 1226545 1378165 1872095 2103515 2104493 5745395 7113961 7993357 10522465 21832501 33323291 35569805 39966785 39985367 61030297 109162505 166616455 187299877 199926835 305151485 633142529 936499385 1159575643 3165712645 3558697663 5431696433 5797878215 17793488315 27158482165 103202232227 516011161135