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12400628480 = 285233971061
BaseRepresentation
bin10111000110010001…
…01001001100000000
31012000012222012022022
423203020221030000
5200344030102410
65410300301012
7616204413542
oct134310511400
935005865268
1012400628480
115293916799
1224a0b41768
1312281661b6
14858d07692
154c8a0a455
hex2e3229300

12400628480 has 144 divisors (see below), whose sum is σ = 31102190784. Its totient is φ = 4728176640.

The previous prime is 12400628419. The next prime is 12400628489. The reversal of 12400628480 is 8482600421.

It is a super-2 number, since 2×124006284802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12400628480.

It is not an unprimeable number, because it can be changed into a prime (12400628489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11687150 + ... + 11688210.

It is an arithmetic number, because the mean of its divisors is an integer number (215987436).

Almost surely, 212400628480 is an apocalyptic number.

12400628480 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 12400628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551095392).

12400628480 is an abundant number, since it is smaller than the sum of its proper divisors (18701562304).

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

12400628480 is a wasteful number, since it uses less digits than its factorization.

12400628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 12400628480 in words is "twelve billion, four hundred million, six hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 397 460 640 736 794 920 1061 1280 1472 1588 1840 1985 2122 2944 3176 3680 3970 4244 5305 5888 6352 7360 7940 8488 9131 10610 12704 14720 15880 16976 18262 21220 24403 25408 29440 31760 33952 36524 42440 45655 48806 50816 63520 67904 73048 84880 91310 97612 101632 122015 127040 135808 146096 169760 182620 195224 244030 254080 271616 292192 339520 365240 390448 421217 488060 508160 584384 679040 730480 780896 842434 976120 1168768 1358080 1460960 1561792 1684868 1952240 2106085 2337536 2921920 3123584 3369736 3904480 4212170 5843840 6247168 6739472 7808960 8424340 9687991 11687680 13478944 15617920 16848680 19375982 26957888 31235840 33697360 38751964 48439955 53915776 67394720 77503928 96879910 107831552 134789440 155007856 193759820 269578880 310015712 387519640 539157760 620031424 775039280 1240062848 1550078560 2480125696 3100157120 6200314240 12400628480