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20458748464 = 24711174322717
BaseRepresentation
bin10011000011011011…
…111011101000110000
31221210210202002211121
4103003123323220300
5313344414422324
613222033552024
71322662330660
oct230333735060
957723662747
1020458748464
118749480590
123b6b715614
131c1074862b
14dc11c01a0
157eb1865e4
hex4c36fba30

20458748464 has 160 divisors (see below), whose sum is σ = 53546144256. Its totient is φ = 7327272960.

The previous prime is 20458748461. The next prime is 20458748483. The reversal of 20458748464 is 46484785402.

It is not an unprimeable number, because it can be changed into a prime (20458748461) 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, 889234 + ... + 911950.

Almost surely, 220458748464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20458748464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773072128).

20458748464 is an abundant number, since it is smaller than the sum of its proper divisors (33087395792).

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

20458748464 is a wasteful number, since it uses less digits than its factorization.

20458748464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22803 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 52.

The spelling of 20458748464 in words is "twenty billion, four hundred fifty-eight million, seven hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 43 44 56 68 77 86 88 112 119 136 154 172 176 187 238 272 301 308 344 374 473 476 602 616 688 731 748 946 952 1204 1232 1309 1462 1496 1892 1904 2408 2618 2924 2992 3311 3784 4816 5117 5236 5848 6622 7568 8041 10234 10472 11696 13244 16082 20468 20944 22717 26488 32164 40936 45434 52976 56287 64328 81872 90868 112574 128656 159019 181736 225148 249887 318038 363472 386189 450296 499774 636076 772378 900592 976831 999548 1272152 1544756 1749209 1953662 1999096 2544304 2703323 3089512 3498418 3907324 3998192 4248079 5406646 6179024 6837817 6996836 7814648 8496158 10745141 10813292 13675634 13993672 15629296 16606127 16992316 21490282 21626584 27351268 27987344 29736553 33212254 33984632 42980564 43253168 54702536 59473106 66424508 67969264 75215987 85961128 109405072 116242889 118946212 132849016 150431974 171922256 182667397 232485778 237892424 265698032 300863948 365334794 464971556 475784848 601727896 730669588 929943112 1203455792 1278671779 1461339176 1859886224 2557343558 2922678352 5114687116 10229374232 20458748464