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70824574920 = 233511151355331
BaseRepresentation
bin100000111110101111…
…0010011111111001000
320202210212221012000110
41001331132103333020
52130022042344140
652311504234320
75055045645111
oct1017536237710
9222725835013
1070824574920
1128044698450
121188700b9a0
1368a92230c8
1435dc33b208
151c97bde380
hex107d793fc8

70824574920 has 128 divisors (see below), whose sum is σ = 233325204480. Its totient is φ = 17055840000.

The previous prime is 70824574907. The next prime is 70824574927. The reversal of 70824574920 is 2947542807.

It is a super-2 number, since 2×708245749202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70824574920.

It is not an unprimeable number, because it can be changed into a prime (70824574927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21655 + ... + 376985.

It is an arithmetic number, because the mean of its divisors is an integer number (1822853160).

Almost surely, 270824574920 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 70824574920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116662602240).

70824574920 is an abundant number, since it is smaller than the sum of its proper divisors (162500629560).

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

70824574920 is a wasteful number, since it uses less digits than its factorization.

70824574920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355507 (or 355503 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 70824574920 in words is "seventy billion, eight hundred twenty-four million, five hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 151 165 220 264 302 330 440 453 604 660 755 906 1208 1320 1510 1661 1812 2265 3020 3322 3624 4530 4983 6040 6644 8305 9060 9966 13288 16610 18120 19932 24915 33220 39864 49830 66440 99660 199320 355331 710662 1065993 1421324 1776655 2131986 2842648 3553310 3908641 4263972 5329965 7106620 7817282 8527944 10659930 11725923 14213240 15634564 19543205 21319860 23451846 31269128 39086410 42639720 46903692 53654981 58629615 78172820 93807384 107309962 117259230 156345640 160964943 214619924 234518460 268274905 321929886 429239848 469036920 536549810 590204791 643859772 804824715 1073099620 1180409582 1287719544 1609649430 1770614373 2146199240 2360819164 2951023955 3219298860 3541228746 4721638328 5902047910 6438597720 7082457492 8853071865 11804095820 14164914984 17706143730 23608191640 35412287460 70824574920