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13970527920 = 2433517380461
BaseRepresentation
bin11010000001011010…
…10101011010110000
31100001122000100111000
431000231111122300
5212102423343140
610230140522000
71003126346046
oct150055253260
940048010430
1013970527920
115a19aa9448
12285a850300
13141849028b
14967604396
1556b760a30
hex340b556b0

13970527920 has 160 divisors (see below), whose sum is σ = 50951471040. Its totient is φ = 3506319360.

The previous prime is 13970527877. The next prime is 13970527933. The reversal of 13970527920 is 2972507931.

13970527920 is a `hidden beast` number, since 1 + 39 + 7 + 0 + 527 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 153511 + ... + 226950.

It is an arithmetic number, because the mean of its divisors is an integer number (318446694).

Almost surely, 213970527920 is an apocalyptic number.

13970527920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13970527920 is an abundant number, since it is smaller than the sum of its proper divisors (36980943120).

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

13970527920 is a wasteful number, since it uses less digits than its factorization.

13970527920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380500 (or 380488 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 13970527920 in words is "thirteen billion, nine hundred seventy million, five hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 380461 760922 1141383 1521844 1902305 2282766 3043688 3424149 3804610 4565532 5706915 6087376 6467837 6848298 7609220 9131064 10272447 11413830 12935674 13696596 15218440 17120745 18262128 19403511 20544894 22827660 25871348 27393192 30436880 32339185 34241490 38807022 41089788 45655320 51362235 51742696 54786384 58210533 64678370 68482980 77614044 82179576 91310640 97017555 102724470 103485392 116421066 129356740 136965960 155228088 164359152 174631599 194035110 205448940 232842132 258713480 273931920 291052665 310456176 349263198 388070220 410897880 465684264 517426960 582105330 698526396 776140440 821795760 873157995 931368528 1164210660 1397052792 1552280880 1746315990 2328421320 2794105584 3492631980 4656842640 6985263960 13970527920