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1375649568 = 25342918301
BaseRepresentation
bin101000111111110…
…1011111100100000
310112212112020110000
41101333223330200
510304131241233
6344300540000
746042554066
oct12177537440
93485466400
101375649568
11646577977
12324851600
1318c004137
14d09b4036
1580b84d13
hex51febf20

1375649568 has 120 divisors (see below), whose sum is σ = 4185484380. Its totient is φ = 442713600.

The previous prime is 1375649567. The next prime is 1375649581. The reversal of 1375649568 is 8659465731.

1375649568 is a `hidden beast` number, since 1 + 3 + 75 + 6 + 4 + 9 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1237069584 + 138579984 = 35172^2 + 11772^2 .

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 (1375649567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66018 + ... + 84318.

Almost surely, 21375649568 is an apocalyptic number.

1375649568 is a gapful number since it is divisible by the number (18) 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 1375649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092742190).

1375649568 is an abundant number, since it is smaller than the sum of its proper divisors (2809834812).

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

1375649568 is a wasteful number, since it uses less digits than its factorization.

1375649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18352 (or 18335 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 1375649568 is about 37089.7501744080. The cubic root of 1375649568 is about 1112.1651239359.

The spelling of 1375649568 in words is "one billion, three hundred seventy-five million, six hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 18301 18792 25056 36602 37584 54903 73204 75168 109806 146408 164709 219612 292816 329418 439224 494127 530729 585632 658836 878448 988254 1061458 1317672 1482381 1592187 1756896 1976508 2122916 2635344 2964762 3184374 3953016 4245832 4776561 5270688 5929524 6368748 7906032 8491664 9553122 11859048 12737496 14329683 15812064 16983328 19106244 23718096 25474992 28659366 38212488 42989049 47436192 50949984 57318732 76424976 85978098 114637464 152849952 171956196 229274928 343912392 458549856 687824784 1375649568