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13316229888 = 283137916883
BaseRepresentation
bin11000110011011010…
…11000101100000000
31021101000211120022120
430121231120230000
5204232423324023
610041205004240
7650663041443
oct143155305400
937330746276
1013316229888
115713734675
1226b76b3680
131342a62b90
1490476565a
1552e0b98e3
hex319b58b00

13316229888 has 144 divisors (see below), whose sum is σ = 38652203520. Its totient is φ = 4045197312.

The previous prime is 13316229887. The next prime is 13316229919. The reversal of 13316229888 is 88892261331.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13316229888.

It is not an unprimeable number, because it can be changed into a prime (13316229881) 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, 780295 + ... + 797177.

It is an arithmetic number, because the mean of its divisors is an integer number (268418080).

Almost surely, 213316229888 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 13316229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326101760).

13316229888 is an abundant number, since it is smaller than the sum of its proper divisors (25335973632).

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

13316229888 is a wasteful number, since it uses less digits than its factorization.

13316229888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16994 (or 16980 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 13316229888 in words is "thirteen billion, three hundred sixteen million, two hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 256 312 316 384 416 474 624 632 768 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3328 3792 4108 4992 5056 6162 7584 8216 9984 10112 12324 15168 16432 16883 20224 24648 30336 32864 33766 49296 50649 60672 65728 67532 98592 101298 131456 135064 197184 202596 219479 262912 270128 394368 405192 438958 540256 658437 788736 810384 877916 1080512 1316874 1333757 1620768 1755832 2161024 2633748 2667514 3241536 3511664 4001271 4322048 5267496 5335028 6483072 7023328 8002542 10534992 10670056 12966144 14046656 16005084 17338841 21069984 21340112 28093312 32010168 34677682 42139968 42680224 52016523 56186624 64020336 69355364 84279936 85360448 104033046 128040672 138710728 168559872 170720896 208066092 256081344 277421456 341441792 416132184 512162688 554842912 832264368 1024325376 1109685824 1664528736 2219371648 3329057472 4438743296 6658114944 13316229888