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20270591488 = 29731374931
BaseRepresentation
bin10010111000001110…
…001010111000000000
31221022200200201222201
4102320032022320000
5313003232411423
613151233042544
71315216120240
oct227016127000
957280621881
1020270591488
118662247454
123b186b6454
131bb0779a44
14da4201b20
157d98bb2ad
hex4b838ae00

20270591488 has 160 divisors (see below), whose sum is σ = 49082001408. Its totient is φ = 8178278400.

The previous prime is 20270591479. The next prime is 20270591521. The reversal of 20270591488 is 88419507202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4108383 + ... + 4113313.

Almost surely, 220270591488 is an apocalyptic number.

20270591488 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 20270591488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24541000704).

20270591488 is an abundant number, since it is smaller than the sum of its proper divisors (28811409920).

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

20270591488 is an equidigital number, since it uses as much as digits as its factorization.

20270591488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 20270591488 in words is "twenty billion, two hundred seventy million, five hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 256 259 296 434 448 496 512 518 592 868 896 992 1036 1147 1184 1736 1792 1984 2072 2294 2368 3472 3584 3968 4144 4588 4736 4931 6944 7936 8029 8288 9176 9472 9862 13888 15872 16058 16576 18352 18944 19724 27776 32116 33152 34517 36704 39448 55552 64232 66304 69034 73408 78896 111104 128464 132608 138068 146816 152861 157792 182447 256928 276136 293632 305722 315584 364894 513856 552272 587264 611444 631168 729788 1027712 1070027 1104544 1222888 1262336 1277129 1459576 2055424 2140054 2209088 2445776 2524672 2554258 2919152 4110848 4280108 4418176 4891552 5108516 5655857 5838304 8560216 8836352 9783104 10217032 11311714 11676608 17120432 17672704 19566208 20434064 22623428 23353216 34240864 39132416 39590999 40868128 45246856 46706432 68481728 78264832 79181998 81736256 90493712 93412864 136963456 158363996 163472512 180987424 273926912 316727992 326945024 361974848 547853824 633455984 653890048 723949696 1266911968 1447899392 2533823936 2895798784 5067647872 10135295744 20270591488