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1055131378596 = 223430737328439
BaseRepresentation
bin11110101101010101011…
…10110010001110100100
310201212110220211122020000
433112222232302032210
5114241402113103341
62124415355141300
7136142065511151
oct17265256621644
93655426748200
101055131378596
1137752a1796a9
121505a9444830
1378663176259
14390d6477228
151c6a68648b6
hexf5aabb23a4

1055131378596 has 120 divisors (see below), whose sum is σ = 2774823226560. Its totient is φ = 349612676928.

The previous prime is 1055131378579. The next prime is 1055131378597. The reversal of 1055131378596 is 6958731315501.

It is a happy number.

1055131378596 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 13 + 1 + 37 + 8 + 596 = 666.

It is a super-2 number, since 2×10551313785962 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1055131378597) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37087345 + ... + 37115783.

It is an arithmetic number, because the mean of its divisors is an integer number (23123526888).

Almost surely, 21055131378596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055131378596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387411613280).

1055131378596 is an abundant number, since it is smaller than the sum of its proper divisors (1719691847964).

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

1055131378596 is a wasteful number, since it uses less digits than its factorization.

1055131378596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29135 (or 29124 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 1055131378596 in words is "one trillion, fifty-five billion, one hundred thirty-one million, three hundred seventy-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 307 324 373 614 746 921 1119 1228 1492 1842 2238 2763 3357 3684 4476 5526 6714 8289 10071 11052 13428 16578 20142 24867 28439 30213 33156 40284 49734 56878 60426 85317 99468 113756 114511 120852 170634 229022 255951 341268 343533 458044 511902 687066 767853 1023804 1030599 1374132 1535706 2061198 2303559 3071412 3091797 4122396 4607118 6183594 8730773 9214236 9275391 10607747 12367188 17461546 18550782 21215494 26192319 31823241 34923092 37101564 42430988 52384638 63646482 78576957 95469723 104769276 127292964 157153914 190939446 235730871 286409169 314307828 381878892 471461742 572818338 707192613 859227507 942923484 1145636676 1414385226 1718455014 2828770452 3256578329 3436910028 6513156658 9769734987 13026313316 19539469974 29309204961 39078939948 58618409922 87927614883 117236819844 175855229766 263782844649 351710459532 527565689298 1055131378596