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1157215294080 = 27325200905433
BaseRepresentation
bin10000110101101111011…
…010000001001010000000
311002121222022201212002200
4100311233122001022000
5122424434103402310
62243341203513200
7146414605463046
oct20655732011200
94077868655080
101157215294080
114068549572aa
12168339088800
1385181631681
144001c198396
152017d9da9c0
hex10d6f681280

1157215294080 has 96 divisors (see below), whose sum is σ = 3996009082260. Its totient is φ = 308590743552.

The previous prime is 1157215294021. The next prime is 1157215294117. The reversal of 1157215294080 is 804925127511.

1157215294080 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 2 + 1 + 529 + 40 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1155900216384 + 1315077696 = 1075128^2 + 36264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100446957 + ... + 100458476.

Almost surely, 21157215294080 is an apocalyptic number.

1157215294080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157215294080 is an abundant number, since it is smaller than the sum of its proper divisors (2838793788180).

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

1157215294080 is a wasteful number, since it uses less digits than its factorization.

1157215294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200905458 (or 200905443 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1157215294080 in words is "one trillion, one hundred fifty-seven billion, two hundred fifteen million, two hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 200905433 401810866 602716299 803621732 1004527165 1205432598 1607243464 1808148897 2009054330 2410865196 3013581495 3214486928 3616297794 4018108660 4821730392 6027162990 6428973856 7232595588 8036217320 9040744485 9643460784 12054325980 12857947712 14465191176 16072434640 18081488970 19286921568 24108651960 25715895424 28930382352 32144869280 36162977940 38573843136 48217303920 57860764704 64289738560 72325955880 77147686272 96434607840 115721529408 128579477120 144651911760 192869215680 231443058816 289303823520 385738431360 578607647040 1157215294080