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115967300880 = 24352382125589
BaseRepresentation
bin110110000000000110…
…0001001010100010000
3102002022221221021021210
41230000030021110100
53400000112112010
6125135153420120
711243530536054
oct1540014112420
9362287837253
10115967300880
11451aa577632
121a58526a640
13ac21887282
14588191dc64
15303ae21b20
hex1b00309510

115967300880 has 160 divisors (see below), whose sum is σ = 375600602880. Its totient is φ = 29542881280.

The previous prime is 115967300851. The next prime is 115967300881. The reversal of 115967300880 is 88003769511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (115967300881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519126 + ... + 4544714.

It is an arithmetic number, because the mean of its divisors is an integer number (2347503768).

Almost surely, 2115967300880 is an apocalyptic number.

115967300880 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 115967300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187800301440).

115967300880 is an abundant number, since it is smaller than the sum of its proper divisors (259633302000).

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

115967300880 is a wasteful number, since it uses less digits than its factorization.

115967300880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26449 (or 26443 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 115967300880 in words is "one hundred fifteen billion, nine hundred sixty-seven million, three hundred thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 821 920 1104 1380 1642 1840 2463 2760 3284 4105 4926 5520 6568 8210 9852 12315 13136 16420 18883 19704 24630 25589 32840 37766 39408 49260 51178 56649 65680 75532 76767 94415 98520 102356 113298 127945 151064 153534 188830 197040 204712 226596 255890 283245 302128 307068 377660 383835 409424 453192 511780 566490 588547 614136 755320 767670 906384 1023560 1132980 1177094 1228272 1510640 1535340 1765641 2047120 2265960 2354188 2942735 3070680 3531282 4531920 4708376 5885470 6141360 7062564 8828205 9416752 11770940 14125128 17656410 21008569 23541880 28250256 35312820 42017138 47083760 63025707 70625640 84034276 105042845 126051414 141251280 168068552 210085690 252102828 315128535 336137104 420171380 483197087 504205656 630257070 840342760 966394174 1008411312 1260514140 1449591261 1680685520 1932788348 2415985435 2521028280 2899182522 3865576696 4831970870 5042056560 5798365044 7247956305 7731153392 9663941740 11596730088 14495912610 19327883480 23193460176 28991825220 38655766960 57983650440 115967300880