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13909470384 = 2433734922441
BaseRepresentation
bin11001111010001000…
…11010110010110000
31022220101010022021210
430331010122302300
5211441311023014
610220120120120
71001455355535
oct147504326260
938811108253
1013909470384
115998595a77
122842306040
131408932b64
1495d46cd8c
155661ee859
hex33d11acb0

13909470384 has 80 divisors (see below), whose sum is σ = 37011346400. Its totient is φ = 4498053120.

The previous prime is 13909470373. The next prime is 13909470401. The reversal of 13909470384 is 48307490931.

It is a happy number.

It is a super-3 number, since 3×139094703843 (a number of 31 digits) contains 333 as substring.

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

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, 608604 + ... + 631044.

It is an arithmetic number, because the mean of its divisors is an integer number (462641830).

Almost surely, 213909470384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13909470384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505673200).

13909470384 is an abundant number, since it is smaller than the sum of its proper divisors (23101876016).

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

13909470384 is a wasteful number, since it uses less digits than its factorization.

13909470384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22838 (or 22832 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 13909470384 in words is "thirteen billion, nine hundred nine million, four hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 349 444 592 698 888 1047 1396 1776 2094 2792 4188 5584 8376 12913 16752 22441 25826 38739 44882 51652 67323 77478 89764 103304 134646 154956 179528 206608 269292 309912 359056 538584 619824 830317 1077168 1660634 2490951 3321268 4981902 6642536 7831909 9963804 13285072 15663818 19927608 23495727 31327636 39855216 46991454 62655272 93982908 125310544 187965816 289780633 375931632 579561266 869341899 1159122532 1738683798 2318245064 3477367596 4636490128 6954735192 13909470384