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1375236864 = 28323131907
BaseRepresentation
bin101000111111000…
…0111001100000000
310112211202021022200
41101332013030000
510304030034424
6344244033200
746036214631
oct12176071400
93484667280
101375236864
116463158a1
12324692800
1318bbbb331
14d0907888
1580b028c9
hex51f87300

1375236864 has 108 divisors (see below), whose sum is σ = 3979901016. Its totient is φ = 456708096.

The previous prime is 1375236859. The next prime is 1375236871. The reversal of 1375236864 is 4686325731.

1375236864 is a `hidden beast` number, since 1 + 3 + 7 + 523 + 68 + 64 = 666.

It is a super-3 number, since 3×13752368643 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720199 + ... + 722105.

Almost surely, 21375236864 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 1375236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989950508).

1375236864 is an abundant number, since it is smaller than the sum of its proper divisors (2604664152).

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

1375236864 is a wasteful number, since it uses less digits than its factorization.

1375236864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2225 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1375236864 is about 37084.1861714667. The cubic root of 1375236864 is about 1112.0538938391.

The spelling of 1375236864 in words is "one billion, three hundred seventy-five million, two hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 313 384 576 626 768 939 1152 1252 1878 1907 2304 2504 2817 3756 3814 5008 5634 5721 7512 7628 10016 11268 11442 15024 15256 17163 20032 22536 22884 30048 30512 34326 40064 45072 45768 60096 61024 68652 80128 90144 91536 120192 122048 137304 180288 183072 240384 244096 274608 360576 366144 488192 549216 596891 721152 732288 1098432 1193782 1464576 1790673 2196864 2387564 3581346 4393728 4775128 5372019 7162692 9550256 10744038 14325384 19100512 21488076 28650768 38201024 42976152 57301536 76402048 85952304 114603072 152804096 171904608 229206144 343809216 458412288 687618432 1375236864