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30670817439376 = 2417223235412
BaseRepresentation
bin1101111100101000110110…
…01011011010111010010000
311000121002202000001110212101
412332110123023122322100
513010002313231030001
6145121551245010144
76313615306503112
oct676243313327220
9130532660043771
1030670817439376
119855469948a54
123534262853954
131416326991a2a
14780692a313b2
15382c41dc6a01
hex1be51b2dae90

30670817439376 has 135 divisors (see below), whose sum is σ = 66008477968923. Its totient is φ = 13801891107840.

The previous prime is 30670817439343. The next prime is 30670817439389. The reversal of 30670817439376 is 67393471807603.

The square root of 30670817439376 is 5538124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1379168384400 + 29291649054976 = 1174380^2 + 5412176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8661624166 + ... + 8661627706.

Almost surely, 230670817439376 is an apocalyptic number.

30670817439376 is the 5538124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30670817439376

30670817439376 is an abundant number, since it is smaller than the sum of its proper divisors (35337660529547).

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

30670817439376 is an frugal number, since it uses more digits than its factorization.

30670817439376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 64.

The spelling of 30670817439376 in words is "thirty trillion, six hundred seventy billion, eight hundred seventeen million, four hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 289 368 391 529 578 782 1058 1156 1564 2116 2312 3128 3541 4232 4624 6256 6647 7082 8464 8993 13294 14164 17986 26588 28328 35972 53176 56656 60197 71944 81443 106352 120394 143888 152881 162886 240788 305762 325772 481576 611524 651544 963152 1023349 1223048 1303088 1384531 1873189 2046698 2446096 2769062 3746378 4093396 5538124 7492756 8186792 11076248 12538681 14985512 16373584 22152496 23537027 25077362 29971024 31844213 47074054 50154724 63688426 94148108 100309448 127376852 188296216 200618896 213157577 254753704 288389663 376592432 426315154 509507408 541351621 576779326 852630308 1082703242 1153558652 1705260616 2165406484 2307117304 3410521232 3623678809 4330812968 4614234608 4902624271 6632962249 7247357618 8661625936 9805248542 13265924498 14494715236 19610497084 26531848996 28989430472 39220994168 53063697992 57978860944 78441988336 83344612607 106127395984 112760358233 166689225214 225520716466 333378450428 451041432932 666756900856 902082865864 1333513801712 1804165731728 1916926089961 3833852179922 7667704359844 15335408719688 30670817439376