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1153337000010 = 235132463949037
BaseRepresentation
bin10000110010001000001…
…111100000000001001010
311002020222001001002210120
4100302020033200001022
5122344013233000020
62241500302324110
7146216523514206
oct20621017400112
94066861032716
101153337000010
1140514473a598
12167636289636
13849b3cb3500
143db71085b06
15200032a6740
hex10c883e004a

1153337000010 has 96 divisors (see below), whose sum is σ = 2998018552320. Its totient is φ = 283831352064.

The previous prime is 1153336999967. The next prime is 1153337000041. The reversal of 1153337000010 is 100007333511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23495212 + ... + 23544248.

It is an arithmetic number, because the mean of its divisors is an integer number (31229359920).

Almost surely, 21153337000010 is an apocalyptic number.

1153337000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153337000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499009276160).

1153337000010 is an abundant number, since it is smaller than the sum of its proper divisors (1844681552310).

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

1153337000010 is a wasteful number, since it uses less digits than its factorization.

1153337000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53712 (or 53699 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The spelling of 1153337000010 in words is "one trillion, one hundred fifty-three billion, three hundred thirty-seven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 4639 5070 9278 13917 23195 27834 46390 49037 60307 69585 98074 120614 139170 147111 180921 245185 294222 301535 361842 490370 603070 637481 735555 783991 904605 1274962 1471110 1567982 1809210 1912443 2351973 3187405 3824886 3919955 4703946 6374810 7839910 8287253 9562215 11759865 16574506 19124430 23519730 24861759 41436265 49723518 82872530 124308795 227482643 248617590 454965286 682447929 1137413215 1364895858 2274826430 2957274359 3412239645 5914548718 6824479290 8871823077 14786371795 17743646154 29572743590 38444566667 44359115385 76889133334 88718230770 115333700001 192222833335 230667400002 384445666670 576668500005 1153337000010