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20311715640 = 2335437353923
BaseRepresentation
bin10010111010101011…
…000010111100111000
31221102120002001201110
4102322223002330320
5313044244400030
613155302320320
71316225506566
oct227253027470
957376061643
1020311715640
118683485657
123b2a4290a0
131bb9148168
14da9868a36
157dd2e11b0
hex4baac2f38

20311715640 has 128 divisors (see below), whose sum is σ = 63207555840. Its totient is φ = 5217924096.

The previous prime is 20311715639. The next prime is 20311715647. The reversal of 20311715640 is 4651711302.

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 = 20311715598 and 20311715607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311715647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349719 + ... + 403641.

It is an arithmetic number, because the mean of its divisors is an integer number (493809030).

Almost surely, 220311715640 is an apocalyptic number.

20311715640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311715640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31603777920).

20311715640 is an abundant number, since it is smaller than the sum of its proper divisors (42895840200).

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

20311715640 is a wasteful number, since it uses less digits than its factorization.

20311715640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54053 (or 54049 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 20311715640 in words is "twenty billion, three hundred eleven million, seven hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 73 86 120 129 146 172 215 219 258 292 344 365 430 438 516 584 645 730 860 876 1032 1095 1290 1460 1720 1752 2190 2580 2920 3139 4380 5160 6278 8760 9417 12556 15695 18834 25112 31390 37668 47085 53923 62780 75336 94170 107846 125560 161769 188340 215692 269615 323538 376680 431384 539230 647076 808845 1078460 1294152 1617690 2156920 2318689 3235380 3936379 4637378 6470760 6956067 7872758 9274756 11593445 11809137 13912134 15745516 18549512 19681895 23186890 23618274 27824268 31491032 34780335 39363790 46373780 47236548 55648536 59045685 69560670 78727580 92747560 94473096 118091370 139121340 157455160 169264297 236182740 278242680 338528594 472365480 507792891 677057188 846321485 1015585782 1354114376 1692642970 2031171564 2538964455 3385285940 4062343128 5077928910 6770571880 10155857820 20311715640