Search a number
-
+
21021631699416 = 23329411201613381
BaseRepresentation
bin1001100011110011110101…
…11000111101100111011000
32202102122111122202010012020
410301321322320331213120
510223404300203340131
6112413112043014440
74266522426131655
oct461717270754730
982378448663166
1021021631699416
116775251074967
122436171b0a420
13b9644000b5ca
14529649572c2c
15266c4a729996
hex131e7ae3d9d8

21021631699416 has 128 divisors (see below), whose sum is σ = 55738758398400. Its totient is φ = 6595061760000.

The previous prime is 21021631699361. The next prime is 21021631699427. The reversal of 21021631699416 is 61499613612012.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 33965046 + ... + 34578426.

Almost surely, 221021631699416 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 21021631699416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869379199200).

21021631699416 is an abundant number, since it is smaller than the sum of its proper divisors (34717126698984).

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

21021631699416 is a wasteful number, since it uses less digits than its factorization.

21021631699416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614661 (or 614657 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 21021631699416 in words is "twenty-one trillion, twenty-one billion, six hundred thirty-one million, six hundred ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 696 984 1189 1201 2378 2402 3567 3603 4756 4804 7134 7206 9512 9608 14268 14412 28536 28824 34829 49241 69658 98482 104487 139316 147723 196964 208974 278632 295446 393928 417948 590892 613381 835896 1181784 1226762 1427989 1840143 2453524 2855978 3680286 4283967 4907048 5711956 7360572 8567934 11423912 14721144 17135868 17788049 25148621 34271736 35576098 50297242 53364147 71152196 75445863 100594484 106728294 142304392 150891726 201188968 213456588 301783452 426913176 603566904 729310009 736670581 1458620018 1473341162 2187930027 2210011743 2917240036 2946682324 4375860054 4420023486 5834480072 5893364648 8751720108 8840046972 17503440216 17680093944 21363446849 30203493821 42726893698 60406987642 64090340547 85453787396 90610481463 120813975284 128180681094 170907574792 181220962926 241627950568 256361362188 362441925852 512722724376 724883851704 875901320809 1751802641618 2627703962427 3503605283236 5255407924854 7007210566472 10510815849708 21021631699416