Search a number
-
+
309595079156432 = 24176917870718899
BaseRepresentation
bin100011001100100110011100…
…0101101111010001011010000
31111121012000000101011201100012
41012121030320231322023100
5311034401210231001212
63014242003234214052
7122132335446556556
oct10631147055721320
91447160011151305
10309595079156432
118a712599069583
122a881725724328
13103998c95b9844
1456646a6027bd6
1525bd429d8a922
hex1199338b7a2d0

309595079156432 has 80 divisors (see below), whose sum is σ = 635323589812800. Its totient is φ = 145646301825024.

The previous prime is 309595079156357. The next prime is 309595079156443. The reversal of 309595079156432 is 234651970595903.

It is a super-2 number, since 2×3095950791564322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16381549319 + ... + 16381568217.

It is an arithmetic number, because the mean of its divisors is an integer number (7941544872660).

Almost surely, 2309595079156432 is an apocalyptic number.

It is an amenable number.

309595079156432 is an abundant number, since it is smaller than the sum of its proper divisors (325728510656368).

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

309595079156432 is a wasteful number, since it uses less digits than its factorization.

309595079156432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34548 (or 34542 counting only the distinct ones).

The product of its (nonzero) digits is 275562000, while the sum is 68.

The spelling of 309595079156432 in words is "three hundred nine trillion, five hundred ninety-five billion, seventy-nine million, one hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 6917 8707 13834 17414 18899 27668 34828 37798 55336 69656 75596 110672 117589 139312 148019 151192 235178 296038 302384 321283 470356 592076 642566 940712 1184152 1285132 1881424 2368304 2570264 5140528 60226319 120452638 130724383 164553593 240905276 261448766 329107186 481810552 522897532 658214372 963621104 1023847423 1045795064 1316428744 2047694846 2091590128 2222314511 2632857488 2797411081 4095389692 4444629022 5594822162 8190779384 8889258044 11189644324 16381558768 17778516088 22379288648 35557032176 44758577296 1138217202781 2276434405562 4552868811124 9105737622248 18211475244496 19349692447277 38699384894554 77398769789108 154797539578216 309595079156432