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21429537024 = 283712731387
BaseRepresentation
bin10011111101010011…
…001100100100000000
32001022110110021101110
4103331103030210000
5322341430141044
613502233203320
71356021026220
oct237523144400
961273407343
1021429537024
1190a7462385
1241a0860540
1320368c872c
1410740c6080
158564e76b9
hex4fd4cc900

21429537024 has 144 divisors (see below), whose sum is σ = 65696841728. Its totient is φ = 6074320896.

The previous prime is 21429536993. The next prime is 21429537043. The reversal of 21429537024 is 42073592412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667059 + ... + 698445.

Almost surely, 221429537024 is an apocalyptic number.

21429537024 is a gapful number since it is divisible by the number (24) 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 21429537024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32848420864).

21429537024 is an abundant number, since it is smaller than the sum of its proper divisors (44267304704).

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

21429537024 is a wasteful number, since it uses less digits than its factorization.

21429537024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540 (or 31526 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 21429537024 in words is "twenty-one billion, four hundred twenty-nine million, five hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 672 762 768 889 896 1016 1344 1524 1778 1792 2032 2667 2688 3048 3556 4064 5334 5376 6096 7112 8128 10668 12192 14224 16256 21336 24384 28448 31387 32512 42672 48768 56896 62774 85344 94161 97536 113792 125548 170688 188322 219709 227584 251096 341376 376644 439418 502192 659127 682752 753288 878836 1004384 1318254 1506576 1757672 2008768 2636508 3013152 3515344 3986149 4017536 5273016 6026304 7030688 7972298 8035072 10546032 11958447 12052608 14061376 15944596 21092064 23916894 24105216 27903043 28122752 31889192 42184128 47833788 55806086 56245504 63778384 83709129 84368256 95667576 111612172 127556768 167418258 168736512 191335152 223224344 255113536 334836516 382670304 446448688 510227072 669673032 765340608 892897376 1020454144 1339346064 1530681216 1785794752 2678692128 3061362432 3571589504 5357384256 7143179008 10714768512 21429537024