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7442845968 = 2435319714851
BaseRepresentation
bin1101110111010000…
…01101000100010000
3201012201000202020210
412323220031010100
5110220332032333
63230314004120
7352304101245
oct67350150420
921181022223
107442845968
11317a324378
121538716640
13917c9958c
145086b55cc
152d8642a63
hex1bba0d110

7442845968 has 80 divisors (see below), whose sum is σ = 19690900416. Its totient is φ = 2421619200.

The previous prime is 7442845961. The next prime is 7442846011. The reversal of 7442845968 is 8695482447.

It is a super-2 number, since 2×74428459682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7442845961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493743 + ... + 508593.

Almost surely, 27442845968 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 7442845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845450208).

7442845968 is an abundant number, since it is smaller than the sum of its proper divisors (12248054448).

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

7442845968 is a wasteful number, since it uses less digits than its factorization.

7442845968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15112 (or 15106 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 7442845968 is about 86271.9303597642. The cubic root of 7442845968 is about 1952.4489038005.

The spelling of 7442845968 in words is "seven billion, four hundred forty-two million, eight hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 197 212 318 394 424 591 636 788 848 1182 1272 1576 2364 2544 3152 4728 9456 10441 14851 20882 29702 31323 41764 44553 59404 62646 83528 89106 118808 125292 167056 178212 237616 250584 356424 501168 712848 787103 1574206 2361309 2925647 3148412 4722618 5851294 6296824 8776941 9445236 11702588 12593648 17553882 18890472 23405176 35107764 37780944 46810352 70215528 140431056 155059291 310118582 465177873 620237164 930355746 1240474328 1860711492 2480948656 3721422984 7442845968