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10329011880 = 23351113075987
BaseRepresentation
bin10011001111010100…
…00011011010101000
3222122211212011120120
421213222003122220
5132123211340010
64424534323240
7513651103155
oct114752033250
928584764516
1010329011880
114420504560
1220031b9520
13c87c05565
146ddb2922c
15406bece70
hex267a836a8

10329011880 has 128 divisors (see below), whose sum is σ = 33835553280. Its totient is φ = 2501669120.

The previous prime is 10329011863. The next prime is 10329011881. The reversal of 10329011880 is 8811092301.

It is a super-2 number, since 2×103290118802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10329011881) 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, 1722247 + ... + 1728233.

It is an arithmetic number, because the mean of its divisors is an integer number (264340260).

Almost surely, 210329011880 is an apocalyptic number.

10329011880 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 10329011880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917776640).

10329011880 is an abundant number, since it is smaller than the sum of its proper divisors (23506541400).

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

10329011880 is a wasteful number, since it uses less digits than its factorization.

10329011880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 10329011880 in words is "ten billion, three hundred twenty-nine million, eleven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1307 1320 2614 3921 5228 5987 6535 7842 10456 11974 13070 14377 15684 17961 19605 23948 26140 28754 29935 31368 35922 39210 43131 47896 52280 57508 59870 65857 71844 71885 78420 86262 89805 115016 119740 131714 143688 143770 156840 172524 179610 197571 215655 239480 263428 287540 329285 345048 359220 395142 431310 526856 575080 658570 718440 790284 862620 987855 1317140 1580568 1725240 1975710 2634280 3951420 7825009 7902840 15650018 23475027 31300036 39125045 46950054 62600072 78250090 86075099 93900108 117375135 156500180 172150198 187800216 234750270 258225297 313000360 344300396 430375495 469500540 516450594 688600792 860750990 939001080 1032901188 1291126485 1721501980 2065802376 2582252970 3443003960 5164505940 10329011880