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1012623345516 = 2231719794126777
BaseRepresentation
bin11101011110001010000…
…11100000011101101100
310120210202110110211010110
432233011003200131230
5113042323034024031
62053105344340020
7133105515263436
oct16570503403554
93523673424113
101012623345516
113604a6530252
12144305614610
137464a611063
1437022b67656
151b519ab6c46
hexebc50e076c

1012623345516 has 96 divisors (see below), whose sum is σ = 2517240825792. Its totient is φ = 315725455360.

The previous prime is 1012623345443. The next prime is 1012623345523. The reversal of 1012623345516 is 6155433262101.

It is a happy number.

1012623345516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 37803520 + ... + 37830296.

It is an arithmetic number, because the mean of its divisors is an integer number (26221258602).

Almost surely, 21012623345516 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 1012623345516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258620412896).

1012623345516 is an abundant number, since it is smaller than the sum of its proper divisors (1504617480276).

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

1012623345516 is a wasteful number, since it uses less digits than its factorization.

1012623345516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27939 (or 27937 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 1012623345516 in words is "one trillion, twelve billion, six hundred twenty-three million, three hundred forty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 941 1182 1882 2364 2823 3349 3764 5646 6698 10047 11292 13396 15997 20094 26777 31994 40188 47991 53554 63988 80331 95982 107108 160662 185377 191964 321324 370754 455209 556131 741508 910418 1112262 1365627 1820836 2224524 2731254 3151409 5275069 5462508 6302818 9454227 10550138 12605636 15825207 18908454 21100276 25197157 31650414 37816908 50394314 63300828 75591471 89676173 100788628 151182942 179352346 269028519 302365884 358704692 428351669 538057038 856703338 1076114076 1285055007 1713406676 2570110014 4963839929 5140220028 9927679858 14891519787 19855359716 29783039574 59566079148 84385278793 168770557586 253155836379 337541115172 506311672758 1012623345516