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20435156040 = 23351341319499
BaseRepresentation
bin10011000010000001…
…111011110001001000
31221202011100111010010
4103002001323301020
5313322344443130
613215432151520
71322254650255
oct230201736110
957664314103
1020435156040
118737127212
123b638385a0
131c088a8010
14dbbddc42c
157e90760b0
hex4c207bc48

20435156040 has 128 divisors (see below), whose sum is σ = 67631760000. Its totient is φ = 4907489280.

The previous prime is 20435156039. The next prime is 20435156059. The reversal of 20435156040 is 4065153402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20435155989 and 20435156007.

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, 95790 + ... + 223709.

It is an arithmetic number, because the mean of its divisors is an integer number (528373125).

Almost surely, 220435156040 is an apocalyptic number.

20435156040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20435156040 is an abundant number, since it is smaller than the sum of its proper divisors (47196603960).

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

20435156040 is a wasteful number, since it uses less digits than its factorization.

20435156040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319567 (or 319563 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 20435156040 in words is "twenty billion, four hundred thirty-five million, one hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 21320 31980 63960 319499 638998 958497 1277996 1597495 1916994 2555992 3194990 3833988 4153487 4792485 6389980 7667976 8306974 9584970 12460461 12779960 13099459 16613948 19169940 20767435 24920922 26198918 33227896 38339880 39298377 41534870 49841844 52397836 62302305 65497295 78596754 83069740 99683688 104795672 124604610 130994590 157193508 166139480 170292967 196491885 249209220 261989180 314387016 340585934 392983770 498418440 510878901 523978360 681171868 785967540 851464835 1021757802 1362343736 1571935080 1702929670 2043515604 2554394505 3405859340 4087031208 5108789010 6811718680 10217578020 20435156040