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9970270368 = 2531923210333
BaseRepresentation
bin10010100100100011…
…00100000010100000
3221201211211012201220
421102101210002200
5130404342122433
64325201255040
7502033620432
oct112221440240
927654735656
109970270368
114256a59773
121b23034480
13c2b7ab586
146a8224652
153d54892b3
hex2524640a0

9970270368 has 144 divisors (see below), whose sum is σ = 28802098080. Its totient is φ = 3011323392.

The previous prime is 9970270367. The next prime is 9970270393. The reversal of 9970270368 is 8630720799.

It is a super-2 number, since 2×99702703682 (a number of 21 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 9970270368.

It is not an unprimeable number, because it can be changed into a prime (9970270361) 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, 959730 + ... + 970062.

It is an arithmetic number, because the mean of its divisors is an integer number (200014570).

Almost surely, 29970270368 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 9970270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401049040).

9970270368 is an abundant number, since it is smaller than the sum of its proper divisors (18831827712).

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

9970270368 is a wasteful number, since it uses less digits than its factorization.

9970270368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 9970270368 is about 99851.2411940883. The cubic root of 9970270368 is about 2152.2975524033.

The spelling of 9970270368 in words is "nine billion, nine hundred seventy million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 529 552 608 736 874 912 1058 1104 1311 1587 1748 1824 2116 2208 2622 3174 3496 4232 5244 6348 6992 8464 10051 10333 10488 12696 13984 16928 20102 20666 20976 25392 30153 30999 40204 41332 41952 50784 60306 61998 80408 82664 120612 123996 160816 165328 196327 237659 241224 247992 321632 330656 392654 475318 482448 495984 588981 712977 785308 950636 964896 991968 1177962 1425954 1570616 1901272 2355924 2851908 3141232 3802544 4515521 4711848 5466157 5703816 6282464 7605088 9031042 9423696 10932314 11407632 13546563 16398471 18062084 18847392 21864628 22815264 27093126 32796942 36124168 43729256 54186252 65593884 72248336 87458512 103856983 108372504 131187768 144496672 174917024 207713966 216745008 262375536 311570949 415427932 433490016 524751072 623141898 830855864 1246283796 1661711728 2492567592 3323423456 4985135184 9970270368