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1138767795 = 335112931853
BaseRepresentation
bin100001111100000…
…0011011110110011
32221100210101202000
41003320003132303
54313011032140
6304555425043
740135236504
oct10370033663
92840711660
101138767795
11534894110
12279455183
13151c056c9
14ab350bab
1569e92a30
hex43e037b3

1138767795 has 128 divisors (see below), whose sum is σ = 2361139200. Its totient is φ = 515289600.

The previous prime is 1138767787. The next prime is 1138767811. The reversal of 1138767795 is 5977678311.

It is not a de Polignac number, because 1138767795 - 23 = 1138767787 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1334589 + ... + 1335441.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 21138767795 is an apocalyptic number.

1138767795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1138767795 is an abundant number, since it is smaller than the sum of its proper divisors (1222371405).

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

1138767795 is a wasteful number, since it uses less digits than its factorization.

1138767795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 1138767795 is about 33745.6337175641. The cubic root of 1138767795 is about 1044.2674123415.

The spelling of 1138767795 in words is "one billion, one hundred thirty-eight million, seven hundred sixty-seven thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 29 31 33 45 55 87 93 99 135 145 155 165 261 279 297 319 341 435 465 495 783 837 853 899 957 1023 1305 1395 1485 1595 1705 2559 2697 2871 3069 3915 4185 4265 4495 4785 5115 7677 8091 8613 9207 9383 9889 12795 13485 14355 15345 23031 24273 24737 26443 28149 29667 38385 40455 43065 46035 46915 49445 74211 79329 84447 89001 115155 121365 123685 132215 140745 148335 222633 237987 253341 267003 272107 290873 371055 396645 422235 445005 667899 713961 766847 816321 872619 1113165 1189935 1266705 1335015 1360535 1454365 2300541 2448963 2617857 3339495 3569805 3834235 4081605 4363095 6901623 7346889 7853571 8435317 11502705 12244815 13089285 20704869 25305951 34508115 36734445 39267855 42176585 75917853 103524345 126529755 227753559 379589265 1138767795