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10152215621436 = 22371511674792787
BaseRepresentation
bin1001001110111011111100…
…1101001010111100111100
31022221112122100202222221010
42103232333031022330330
52312313214144341221
633331510302035220
72065321236646260
oct223567715127474
938845570688833
1010152215621436
113264592061369
12117b698578b10
13588471748785
14271526c660a0
151291382c7c76
hex93bbf34af3c

10152215621436 has 96 divisors (see below), whose sum is σ = 27415054098432. Its totient is φ = 2864168913600.

The previous prime is 10152215621399. The next prime is 10152215621461. The reversal of 10152215621436 is 63412651225101.

It is a junction number, because it is equal to n+sod(n) for n = 10152215621394 and 10152215621403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278166 + ... + 4514621.

It is an arithmetic number, because the mean of its divisors is an integer number (285573480192).

Almost surely, 210152215621436 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 10152215621436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707527049216).

10152215621436 is an abundant number, since it is smaller than the sum of its proper divisors (17262838476996).

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

10152215621436 is a wasteful number, since it uses less digits than its factorization.

10152215621436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793119 (or 4793117 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 10152215621436 its reverse (63412651225101), we get a palindrome (73564866846537).

The spelling of 10152215621436 in words is "ten trillion, one hundred fifty-two billion, two hundred fifteen million, six hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 167 302 334 453 501 604 668 906 1002 1057 1169 1812 2004 2114 2338 3171 3507 4228 4676 6342 7014 12684 14028 25217 50434 75651 100868 151302 176519 302604 353038 529557 706076 1059114 2118228 4792787 9585574 14378361 19171148 28756722 33549509 57513444 67099018 100648527 134198036 201297054 402594108 723710837 800395429 1447421674 1600790858 2171132511 2401186287 2894843348 3201581716 4342265022 4802372574 5065975859 5602768003 8684530044 9604745148 10131951718 11205536006 15197927577 16808304009 20263903436 22411072012 30395855154 33616608018 60791710308 67233216036 120859709779 241719419558 362579129337 483438839116 725158258674 846017968453 1450316517348 1692035936906 2538053905359 3384071873812 5076107810718 10152215621436