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20371745280 = 293519139609
BaseRepresentation
bin10010111110010000…
…000010101000000000
31221120202000212220110
4102332100002220000
5313210131322110
613205245111320
71320554656245
oct227620025000
957522025813
1020371745280
118704356827
123b46558540
131bc8705763
14db38135cc
157e36eca20
hex4be402a00

20371745280 has 160 divisors (see below), whose sum is σ = 68554094400. Its totient is φ = 5146509312.

The previous prime is 20371745243. The next prime is 20371745281. The reversal of 20371745280 is 8254717302.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (20371745281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76116 + ... + 215724.

It is an arithmetic number, because the mean of its divisors is an integer number (428463090).

Almost surely, 220371745280 is an apocalyptic number.

20371745280 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 20371745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34277047200).

20371745280 is an abundant number, since it is smaller than the sum of its proper divisors (48182349120).

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

20371745280 is a wasteful number, since it uses less digits than its factorization.

20371745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139654 (or 139638 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 20371745280 in words is "twenty billion, three hundred seventy-one million, seven hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 48640 72960 139609 145920 279218 418827 558436 698045 837654 1116872 1396090 1675308 2094135 2233744 2652571 2792180 3350616 4188270 4467488 5305142 5584360 6701232 7957713 8376540 8934976 10610284 11168720 13262855 13402464 15915426 16753080 17869952 21220568 22337440 26525710 26804928 31830852 33506160 35739904 39788565 42441136 44674880 53051420 53609856 63661704 67012320 71479808 79577130 84882272 89349760 106102840 107219712 127323408 134024640 159154260 169764544 178699520 212205680 214439424 254646816 268049280 318308520 339529088 357399040 424411360 509293632 536098560 636617040 679058176 848822720 1018587264 1072197120 1273234080 1358116352 1697645440 2037174528 2546468160 3395290880 4074349056 5092936320 6790581760 10185872640 20371745280