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13691379400 = 2352317927953
BaseRepresentation
bin11001100000001000…
…11101111011001000
31022100011202010200221
430300010131323020
5211014443120100
610142325435424
7663166543006
oct146004357310
938304663627
1013691379400
115896476a96
1227a126bb74
1313a26b333a
1493c4dba76
15551ec001a
hex33011dec8

13691379400 has 96 divisors (see below), whose sum is σ = 33276441600. Its totient is φ = 5232614400.

The previous prime is 13691379391. The next prime is 13691379413. The reversal of 13691379400 is 497319631.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475824 + ... + 503776.

It is an arithmetic number, because the mean of its divisors is an integer number (346629600).

Almost surely, 213691379400 is an apocalyptic number.

13691379400 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 13691379400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638220800).

13691379400 is an abundant number, since it is smaller than the sum of its proper divisors (19585062200).

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

13691379400 is a wasteful number, since it uses less digits than its factorization.

13691379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28079 (or 28070 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 13691379400 in words is "thirteen billion, six hundred ninety-one million, three hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 79 100 124 155 158 200 248 310 316 395 620 632 775 790 1240 1550 1580 1975 2449 3100 3160 3950 4898 6200 7900 9796 12245 15800 19592 24490 27953 48980 55906 61225 97960 111812 122450 139765 223624 244900 279530 489800 559060 698825 866543 1118120 1397650 1733086 2208287 2795300 3466172 4332715 4416574 5590600 6932344 8665430 8833148 11041435 17330860 17666296 21663575 22082870 34661720 43327150 44165740 55207175 68456897 86654300 88331480 110414350 136913794 173308600 220828700 273827588 342284485 441657400 547655176 684568970 1369137940 1711422425 2738275880 3422844850 6845689700 13691379400