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103516505625136 = 2447734194500439
BaseRepresentation
bin10111100010010111010000…
…100010111101001000110000
3111120112002012021001011001211
4113202113100202331020300
5102032003300420001021
61004054454242205504
730542551336602052
oct2742272042751060
9446462167034054
10103516505625136
112aa9011583485a
12b73a238353894
13459b7455513b6
141b7c3230bb8d2
15be7a7dc173e1
hex5e25d08bd230

103516505625136 has 80 divisors (see below), whose sum is σ = 208132028697600. Its totient is φ = 49843826993664.

The previous prime is 103516505625133. The next prime is 103516505625229. The reversal of 103516505625136 is 631526505615301.

It is a self number, because there is not a number n which added to its sum of digits gives 103516505625136.

It is not an unprimeable number, because it can be changed into a prime (103516505625133) 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, 20751205 + ... + 25251643.

It is an arithmetic number, because the mean of its divisors is an integer number (2601650358720).

Almost surely, 2103516505625136 is an apocalyptic number.

103516505625136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103516505625136 is an abundant number, since it is smaller than the sum of its proper divisors (104615523072464).

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

103516505625136 is a wasteful number, since it uses less digits than its factorization.

103516505625136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500986 (or 4500980 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 49.

The spelling of 103516505625136 in words is "one hundred three trillion, five hundred sixteen billion, five hundred five million, six hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 47 73 94 146 188 292 376 419 584 752 838 1168 1676 3352 3431 6704 6862 13724 19693 27448 30587 39386 54896 61174 78772 122348 157544 244696 315088 489392 1437589 2875178 4500439 5750356 9000878 11500712 18001756 23001424 36003512 72007024 211520633 328532047 423041266 657064094 846082532 1314128188 1692165064 1885683941 2628256376 3384330128 3771367882 5256512752 7542735764 15085471528 15441006209 30170943056 30882012418 61764024836 88627145227 123528049672 137654927693 177254290454 247056099344 275309855386 354508580908 550619710772 709017161816 1101239421544 1418034323632 2202478843088 6469781601571 12939563203142 25879126406284 51758252812568 103516505625136