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13879589680 = 24511191018219
BaseRepresentation
bin11001110110100100…
…11011101100110000
31022211021220012200001
430323102123230300
5211411133332210
610213131435344
71000643365015
oct147322335460
938737805601
1013879589680
115982737180
1228342b5b54
1314026a0278
149594d170c
1556379b03a
hex33b49bb30

13879589680 has 160 divisors (see below), whose sum is σ = 37427961600. Its totient is φ = 4733568000.

The previous prime is 13879589671. The next prime is 13879589687. The reversal of 13879589680 is 8698597831.

It is not an unprimeable number, because it can be changed into a prime (13879589687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684611 + ... + 1692829.

It is an arithmetic number, because the mean of its divisors is an integer number (233924760).

Almost surely, 213879589680 is an apocalyptic number.

13879589680 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 13879589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713980800).

13879589680 is an abundant number, since it is smaller than the sum of its proper divisors (23548371920).

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

13879589680 is a wasteful number, since it uses less digits than its factorization.

13879589680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

The spelling of 13879589680 in words is "thirteen billion, eight hundred seventy-nine million, five hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 101 110 152 176 190 202 209 220 304 380 404 418 440 505 760 808 836 880 1010 1045 1111 1520 1616 1672 1919 2020 2090 2222 3344 3838 4040 4180 4444 5555 7676 8080 8219 8360 8888 9595 11110 15352 16438 16720 17776 19190 21109 22220 30704 32876 38380 41095 42218 44440 65752 76760 82190 84436 88880 90409 105545 131504 153520 156161 164380 168872 180818 211090 312322 328760 337744 361636 422180 452045 624644 657520 723272 780805 830119 844360 904090 1249288 1446544 1561610 1660238 1688720 1717771 1808180 2498576 3123220 3320476 3435542 3616360 4150595 6246440 6640952 6871084 7232720 8301190 8588855 9131309 12492880 13281904 13742168 15772261 16602380 17177710 18262618 27484336 31544522 33204760 34355420 36525236 45656545 63089044 66409520 68710840 73050472 78861305 91313090 126178088 137421680 146100944 157722610 173494871 182626180 252356176 315445220 346989742 365252360 630890440 693979484 730504720 867474355 1261780880 1387958968 1734948710 2775917936 3469897420 6939794840 13879589680