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9157212144 = 24322915713967
BaseRepresentation
bin10001000011100111…
…11111011111110000
3212122011220120112100
420201303333133300
5122223221242034
64112354500400
7442632006333
oct104163773760
925564816470
109157212144
11397a00a023
121936894700
13b2c205b32
1462c25a61a
15388dd3099
hex221cff7f0

9157212144 has 120 divisors (see below), whose sum is σ = 26681952960. Its totient is φ = 2928167424.

The previous prime is 9157212137. The next prime is 9157212151. The reversal of 9157212144 is 4412127519.

It is an interprime number because it is at equal distance from previous prime (9157212137) and next prime (9157212151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9157212099 and 9157212108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648649 + ... + 662615.

It is an arithmetic number, because the mean of its divisors is an integer number (222349608).

Almost surely, 29157212144 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 9157212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340976480).

9157212144 is an abundant number, since it is smaller than the sum of its proper divisors (17524740816).

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

9157212144 is a wasteful number, since it uses less digits than its factorization.

9157212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14167 (or 14158 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 9157212144 is about 95693.3234034643. The cubic root of 9157212144 is about 2092.1256232547.

The spelling of 9157212144 in words is "nine billion, one hundred fifty-seven million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 157 174 232 261 314 348 464 471 522 628 696 942 1044 1256 1392 1413 1884 2088 2512 2826 3768 4176 4553 5652 7536 9106 11304 13659 13967 18212 22608 27318 27934 36424 40977 41901 54636 55868 72848 81954 83802 109272 111736 125703 163908 167604 218544 223472 251406 327816 335208 405043 502812 655632 670416 810086 1005624 1215129 1620172 2011248 2192819 2430258 3240344 3645387 4385638 4860516 6480688 6578457 7290774 8771276 9721032 13156914 14581548 17542552 19442064 19735371 26313828 29163096 35085104 39470742 52627656 58326192 63591751 78941484 105255312 127183502 157882968 190775253 254367004 315765936 381550506 508734008 572325759 763101012 1017468016 1144651518 1526202024 2289303036 3052404048 4578606072 9157212144