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10148005560 = 23357111098269
BaseRepresentation
bin10010111001101111…
…00100011010111000
3222012020021002120210
421130313210122320
5131240342134220
64354550551120
7506322424020
oct113467443270
928166232523
1010148005560
114338314860
121b726684a0
13c5956b624
146c3a8ca80
153e5d966e0
hex25cde46b8

10148005560 has 128 divisors (see below), whose sum is σ = 37956211200. Its totient is φ = 2108674560.

The previous prime is 10148005531. The next prime is 10148005579. The reversal of 10148005560 is 6550084101.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 539895 + ... + 558374.

It is an arithmetic number, because the mean of its divisors is an integer number (296532900).

Almost surely, 210148005560 is an apocalyptic number.

10148005560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10148005560 is an abundant number, since it is smaller than the sum of its proper divisors (27808205640).

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

10148005560 is a wasteful number, since it uses less digits than its factorization.

10148005560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098301 (or 1098297 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 10148005560 its reverse (6550084101), we get a palindrome (16698089661).

The spelling of 10148005560 in words is "ten billion, one hundred forty-eight million, five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 1098269 2196538 3294807 4393076 5491345 6589614 7687883 8786152 10982690 12080959 13179228 15375766 16474035 21965380 23063649 24161918 26358456 30751532 32948070 36242877 38439415 43930760 46127298 48323836 60404795 61503064 65896140 72485754 76878830 84566713 92254596 96647672 115318245 120809590 131792280 144971508 153757660 169133426 181214385 184509192 230636490 241619180 253700139 289943016 307515320 338266852 362428770 422833565 461272980 483238360 507400278 676533704 724857540 845667130 922545960 1014800556 1268500695 1449715080 1691334260 2029601112 2537001390 3382668520 5074002780 10148005560