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20257947248 = 2471179208141
BaseRepresentation
bin10010110111011101…
…111011111001110000
31221021210220100100112
4102313131323321300
5312442013302443
613150102040452
71315003465460
oct226735737160
957253810315
1020257947248
1186560a0670
123b14419128
131baac70746
14da266dba0
157d871eb18
hex4b777be70

20257947248 has 80 divisors (see below), whose sum is σ = 49554447360. Its totient is φ = 7792761600.

The previous prime is 20257947233. The next prime is 20257947257. The reversal of 20257947248 is 84274975202.

It is a junction number, because it is equal to n+sod(n) for n = 20257947196 and 20257947205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6743 + ... + 201398.

It is an arithmetic number, because the mean of its divisors is an integer number (619430592).

Almost surely, 220257947248 is an apocalyptic number.

20257947248 is a gapful number since it is divisible by the number (28) 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 20257947248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24777223680).

20257947248 is an abundant number, since it is smaller than the sum of its proper divisors (29296500112).

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

20257947248 is a wasteful number, since it uses less digits than its factorization.

20257947248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208246 (or 208240 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 20257947248 in words is "twenty billion, two hundred fifty-seven million, nine hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 154 158 176 308 316 553 616 632 869 1106 1232 1264 1738 2212 3476 4424 6083 6952 8848 12166 13904 24332 48664 97328 208141 416282 832564 1456987 1665128 2289551 2913974 3330256 4579102 5827948 9158204 11655896 16026857 16443139 18316408 23311792 32053714 32886278 36632816 64107428 65772556 115101973 128214856 131545112 180874529 230203946 256429712 263090224 361749058 460407892 723498116 920815784 1266121703 1446996232 1841631568 2532243406 2893992464 5064486812 10128973624 20257947248