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70024368520 = 23519225718869
BaseRepresentation
bin100000100110111000…
…1110001000110001000
320200202010012111012101
41001031301301012020
52121402214243040
652100241123144
75026161211621
oct1011561610610
9220663174171
1070024368520
1127773a26547
12116a30294b4
1367ac4ca2b2
143563d5aa48
151c4c82609a
hex104dc71188

70024368520 has 96 divisors (see below), whose sum is σ = 166939493400. Its totient is φ = 26430898176.

The previous prime is 70024368499. The next prime is 70024368523. The reversal of 70024368520 is 2586342007.

It can be written as a sum of positive squares in 4 ways, for example, as 67617681156 + 2406687364 = 260034^2 + 49058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70024368520.

It is not an unprimeable number, because it can be changed into a prime (70024368523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3701646 + ... + 3720514.

Almost surely, 270024368520 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 70024368520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83469746700).

70024368520 is an abundant number, since it is smaller than the sum of its proper divisors (96915124880).

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

70024368520 is a wasteful number, since it uses less digits than its factorization.

70024368520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19175 (or 19152 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 70024368520 in words is "seventy billion, twenty-four million, three hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 257 361 380 514 722 760 1028 1285 1444 1805 2056 2570 2888 3610 4883 5140 7220 9766 10280 14440 18869 19532 24415 37738 39064 48830 75476 92777 94345 97660 150952 185554 188690 195320 358511 371108 377380 463885 717022 742216 754760 927770 1434044 1792555 1855540 2868088 3585110 3711080 4849333 6811709 7170220 9698666 13623418 14340440 19397332 24246665 27246836 34058545 38794664 48493330 54493672 68117090 92137327 96986660 136234180 184274654 193973320 272468360 368549308 460686635 737098616 921373270 1750609213 1842746540 3501218426 3685493080 7002436852 8753046065 14004873704 17506092130 35012184260 70024368520