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193478386920 = 233571317717801
BaseRepresentation
bin1011010000110000110…
…1011110010011101000
3200111101211201102012020
42310030031132103220
511132220431340140
6224514401144440
716656401103540
oct2641415362350
9614354642166
10193478386920
1175065561825
12315b762b120
1315325171920
149515cd2320
155075b546d0
hex2d0c35e4e8

193478386920 has 128 divisors (see below), whose sum is σ = 714381776640. Its totient is φ = 40821811200.

The previous prime is 193478386903. The next prime is 193478386951. The reversal of 193478386920 is 29683874391.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 8847981 + ... + 8869820.

It is an arithmetic number, because the mean of its divisors is an integer number (5581107630).

Almost surely, 2193478386920 is an apocalyptic number.

193478386920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193478386920 is an abundant number, since it is smaller than the sum of its proper divisors (520903389720).

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

193478386920 is a wasteful number, since it uses less digits than its factorization.

193478386920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717835 (or 17717831 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 193478386920 in words is "one hundred ninety-three billion, four hundred seventy-eight million, three hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 17717801 35435602 53153403 70871204 88589005 106306806 124024607 141742408 177178010 212613612 230331413 248049214 265767015 354356020 372073821 425227224 460662826 496098428 531534030 620123035 690994239 708712040 744147642 921325652 992196856 1063068060 1151657065 1240246070 1381988478 1488295284 1612319891 1842651304 1860369105 2126136120 2303314130 2480492140 2763976956 2976590568 3224639782 3454971195 3720738210 4606628260 4836959673 4960984280 5527953912 6449279564 6909942390 7441476420 8061599455 9213256520 9673919346 12898559128 13819884780 14882952840 16123198910 19347838692 24184798365 27639769560 32246397820 38695677384 48369596730 64492795640 96739193460 193478386920