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20321886480 = 2435761198301
BaseRepresentation
bin10010111011010001…
…110110000100010000
31221110021012210111020
4102323101312010100
5313104400331410
613200304315440
71316411120310
oct227321660420
957407183436
1020321886480
1186891a2105
123b31912b80
131bbb2996cc
14daad55440
157de14ea70
hex4bb476110

20321886480 has 160 divisors (see below), whose sum is σ = 73178197248. Its totient is φ = 4568832000.

The previous prime is 20321886457. The next prime is 20321886499. The reversal of 20321886480 is 8468812302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3330 + ... + 201630.

Almost surely, 220321886480 is an apocalyptic number.

20321886480 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 20321886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36589098624).

20321886480 is an abundant number, since it is smaller than the sum of its proper divisors (52856310768).

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

20321886480 is a wasteful number, since it uses less digits than its factorization.

20321886480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198385 (or 198379 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 20321886480 in words is "twenty billion, three hundred twenty-one million, eight hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 198301 396602 594903 793204 991505 1189806 1388107 1586408 1983010 2379612 2776214 2974515 3172816 3966020 4164321 4759224 5552428 5949030 6940535 7932040 8328642 9518448 11104856 11898060 12096361 13881070 15864080 16657284 20821605 22209712 23796120 24192722 27762140 33314568 36289083 41643210 47592240 48385444 55524280 60481805 66629136 72578166 83286420 84674527 96770888 111048560 120963610 145156332 166572840 169349054 181445415 193541776 241927220 254023581 290312664 333145680 338698108 362890830 423372635 483854440 508047162 580625328 677396216 725781660 846745270 967708880 1016094324 1270117905 1354792432 1451563320 1693490540 2032188648 2540235810 2903126640 3386981080 4064377296 5080471620 6773962160 10160943240 20321886480