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1150231435536 = 2433114917233011
BaseRepresentation
bin10000101111001111001…
…000101101100100010000
311001221221121101002020010
4100233033020231210100
5122321133221414121
62240224203314520
7146046543612321
oct20571710554420
94057847332203
101150231435536
114038a0727a87
12166b0a21ba40
138460a78a7b1
143d958840448
151edc080e376
hex10bcf22d910

1150231435536 has 160 divisors (see below), whose sum is σ = 3090687897600. Its totient is φ = 368215948800.

The previous prime is 1150231435489. The next prime is 1150231435547. The reversal of 1150231435536 is 6355341320511.

It is a junction number, because it is equal to n+sod(n) for n = 1150231435494 and 1150231435503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382008271 + ... + 382011281.

It is an arithmetic number, because the mean of its divisors is an integer number (19316799360).

Almost surely, 21150231435536 is an apocalyptic number.

1150231435536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150231435536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545343948800).

1150231435536 is an abundant number, since it is smaller than the sum of its proper divisors (1940456462064).

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

1150231435536 is a wasteful number, since it uses less digits than its factorization.

1150231435536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 1150231435536 in words is "one trillion, one hundred fifty billion, two hundred thirty-one million, four hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 149 186 248 298 372 447 496 596 744 894 1192 1488 1723 1788 2384 3011 3446 3576 4619 5169 6022 6892 7152 9033 9238 10338 12044 13784 13857 18066 18476 20676 24088 27568 27714 36132 36952 41352 48176 53413 55428 72264 73904 82704 93341 106826 110856 144528 160239 186682 213652 221712 256727 280023 320478 373364 427304 448639 513454 560046 640956 746728 770181 854608 897278 1026908 1120092 1281912 1345917 1493456 1540362 1794556 2053816 2240184 2563824 2691834 3080724 3589112 4107632 4480368 5187953 5383668 6161448 7178224 7958537 10375906 10767336 12322896 13907809 15563859 15917074 20751812 21534672 23875611 27815618 31127718 31834148 41503624 41723427 47751222 55631236 62255436 63668296 83007248 83446854 95502444 111262472 124510872 127336592 160826543 166893708 191004888 222524944 249021744 321653086 333787416 382009776 482479629 643306172 667574832 773004997 964959258 1286612344 1546009994 1929918516 2319014991 2573224688 3092019988 3859837032 4638029982 6184039976 7719674064 9276059964 12368079952 18552119928 23963154907 37104239856 47926309814 71889464721 95852619628 143778929442 191705239256 287557858884 383410478512 575115717768 1150231435536