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20248048520 = 2357270114737
BaseRepresentation
bin10010110110111000…
…001011001110001000
31221021010021102211222
4102312320023032020
5312432000023040
613145105541212
71314523400300
oct226670131610
957233242758
1020248048520
11865054a5a7
123b11044808
131ba8bb5ccb
14da1214600
157d7916bb5
hex4b6e0b388

20248048520 has 96 divisors (see below), whose sum is σ = 53075369880. Its totient is φ = 6931814400.

The previous prime is 20248048511. The next prime is 20248048523. The reversal of 20248048520 is 2584084202.

It can be written as a sum of positive squares in 4 ways, for example, as 20156616676 + 91431844 = 141974^2 + 9562^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (20248048523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366592 + ... + 1381328.

Almost surely, 220248048520 is an apocalyptic number.

20248048520 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 20248048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26537684940).

20248048520 is an abundant number, since it is smaller than the sum of its proper divisors (32827321360).

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

20248048520 is a wasteful number, since it uses less digits than its factorization.

20248048520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15463 (or 15452 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 20248048520 in words is "twenty billion, two hundred forty-eight million, forty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 701 980 1402 1960 2804 3505 4907 5608 7010 9814 14020 14737 19628 24535 28040 29474 34349 39256 49070 58948 68698 73685 98140 103159 117896 137396 147370 171745 196280 206318 274792 294740 343490 412636 515795 589480 686980 722113 825272 1031590 1373960 1444226 2063180 2888452 3610565 4126360 5776904 7221130 10330637 14442260 20661274 28884520 41322548 51653185 72314459 82645096 103306370 144628918 206612740 289257836 361572295 413225480 506201213 578515672 723144590 1012402426 1446289180 2024804852 2531006065 2892578360 4049609704 5062012130 10124024260 20248048520