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70405295004 = 2232116111325793
BaseRepresentation
bin100000110010001111…
…0111000101110011100
320201201122222120002200
41001210132320232130
52123142223420004
652202125451500
75041465063512
oct1014436705634
9221648876080
1070405295004
1127949a54220
121178a710b90
1368403c1095
14359c7984b2
151c70ebd239
hex10647b8b9c

70405295004 has 144 divisors (see below), whose sum is σ = 199084695264. Its totient is φ = 20798668800.

The previous prime is 70405295003. The next prime is 70405295011. The reversal of 70405295004 is 40059250407.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70405295004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70405295003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2716732 + ... + 2742524.

It is an arithmetic number, because the mean of its divisors is an integer number (1382532606).

Almost surely, 270405295004 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 70405295004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99542347632).

70405295004 is an abundant number, since it is smaller than the sum of its proper divisors (128679400260).

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

70405295004 is a wasteful number, since it uses less digits than its factorization.

70405295004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25988 (or 25983 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 70405295004 in words is "seventy billion, four hundred five million, two hundred ninety-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 113 122 132 183 198 226 244 339 366 396 452 549 671 678 732 1017 1098 1243 1342 1356 2013 2034 2196 2486 2684 3729 4026 4068 4972 6039 6893 7458 8052 11187 12078 13786 14916 20679 22374 24156 25793 27572 41358 44748 51586 62037 75823 77379 82716 103172 124074 151646 154758 227469 232137 248148 283723 303292 309516 454938 464274 567446 682407 851169 909876 928548 1134892 1364814 1573373 1702338 2553507 2729628 2914609 3146746 3404676 4720119 5107014 5829218 6293492 8743827 9440238 10214028 11658436 14160357 17307103 17487654 18880476 26231481 28320714 32060699 34614206 34975308 51921309 52462962 56641428 64121398 69228412 96182097 103842618 104925924 128242796 155763927 177791149 192364194 207685236 288546291 311527854 355582298 384728388 533373447 577092582 623055708 711164596 1066746894 1154185164 1600120341 1955702639 2133493788 3200240682 3911405278 5867107917 6400481364 7822810556 11734215834 17601323751 23468431668 35202647502 70405295004