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13772152320 = 29353974517
BaseRepresentation
bin11001101001110001…
…00101111000000000
31022112210201211022120
430310320211320000
5211201132333240
610154333004240
7665200235403
oct146470457000
938483654276
1013772152320
115928025973
122804323680
1313b6354474
14949125d3a
15559127ad0
hex334e25e00

13772152320 has 160 divisors (see below), whose sum is σ = 44148522528. Its totient is φ = 3662512128.

The previous prime is 13772152309. The next prime is 13772152447. The reversal of 13772152320 is 2325127731.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3046702 + ... + 3051218.

Almost surely, 213772152320 is an apocalyptic number.

13772152320 is a gapful number since it is divisible by the number (10) 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 13772152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22074261264).

13772152320 is an abundant number, since it is smaller than the sum of its proper divisors (30376370208).

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

13772152320 is an equidigital number, since it uses as much as digits as its factorization.

13772152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 13772152320 in words is "thirteen billion, seven hundred seventy-two million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 397 480 512 640 768 794 960 1191 1280 1536 1588 1920 1985 2382 2560 3176 3840 3970 4517 4764 5955 6352 7680 7940 9034 9528 11910 12704 13551 15880 18068 19056 22585 23820 25408 27102 31760 36136 38112 45170 47640 50816 54204 63520 67755 72272 76224 90340 95280 101632 108408 127040 135510 144544 152448 180680 190560 203264 216816 254080 271020 289088 304896 361360 381120 433632 508160 542040 578176 609792 722720 762240 867264 1016320 1084080 1156352 1445440 1524480 1734528 1793249 2168160 2312704 2890880 3048960 3469056 3586498 4336320 5379747 5781760 6938112 7172996 8672640 8966245 10759494 11563520 14345992 17345280 17932490 21518988 26898735 28691984 34690560 35864980 43037976 53797470 57383968 71729960 86075952 107594940 114767936 143459920 172151904 215189880 229535872 286919840 344303808 430379760 459071744 573839680 688607616 860759520 918143488 1147679360 1377215232 1721519040 2295358720 2754430464 3443038080 4590717440 6886076160 13772152320