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21455131152 = 24371313993511
BaseRepresentation
bin10011111110110100…
…110101001000010000
32001101020121120221010
4103332310311020100
5322420003144102
613504545530520
71356451414530
oct237664651020
961336546833
1021455131152
11910a953654
1241a9343a40
13203bcba1a0
1410776694c0
158588a0d6c
hex4fed35210

21455131152 has 160 divisors (see below), whose sum is σ = 68284518400. Its totient is φ = 5652840960.

The previous prime is 21455131109. The next prime is 21455131153. The reversal of 21455131152 is 25113155412.

It is not an unprimeable number, because it can be changed into a prime (21455131153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6109077 + ... + 6112587.

It is an arithmetic number, because the mean of its divisors is an integer number (426778240).

Almost surely, 221455131152 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 21455131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34142259200).

21455131152 is an abundant number, since it is smaller than the sum of its proper divisors (46829387248).

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

21455131152 is a wasteful number, since it uses less digits than its factorization.

21455131152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4935 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

Adding to 21455131152 its reverse (25113155412), we get a palindrome (46568286564).

The spelling of 21455131152 in words is "twenty-one billion, four hundred fifty-five million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1399 1456 2184 2798 3511 4197 4368 5596 7022 8394 9793 10533 11192 14044 16788 18187 19586 21066 22384 24577 28088 29379 33576 36374 39172 42132 45643 49154 54561 56176 58758 67152 72748 73731 78344 84264 91286 98308 109122 117516 127309 136929 145496 147462 156688 168528 182572 196616 218244 235032 254618 273858 290992 294924 319501 365144 381927 393232 436488 470064 509236 547716 589848 639002 730288 763854 872976 958503 1018472 1095432 1179696 1278004 1527708 1917006 2036944 2190864 2556008 3055416 3834012 4911889 5112016 6110832 7668024 9823778 14735667 15336048 19647556 29471334 34383223 39295112 58942668 63854557 68766446 78590224 103149669 117885336 127709114 137532892 191563671 206299338 235770672 255418228 275065784 383127342 412598676 446981899 510836456 550131568 766254684 825197352 893963798 1021672912 1340945697 1532509368 1650394704 1787927596 2681891394 3065018736 3575855192 5363782788 7151710384 10727565576 21455131152