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49040216248384 = 26712123292
BaseRepresentation
bin10110010011010000100001…
…01010110101000001000000
320102122012100222200221011201
423021220100222311001000
522411433330324422014
6252144433032350544
713221016163222464
oct1311502052650100
9212565328627151
1049040216248384
1114697925661909
1256003a5245454
13214961b26291a
14c177b83804a4
155a09add98e74
hex2c9a10ab5040

49040216248384 has 63 divisors (see below), whose sum is σ = 98712112395421. Its totient is φ = 24172793684480.

The previous prime is 49040216248363. The next prime is 49040216248421. The reversal of 49040216248384 is 48384261204094.

The square root of 49040216248384 is 7002872.

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

It can be written as a sum of positive squares in only one way, i.e., 71571230784 + 48968645017600 = 267528^2 + 6997760^2 .

It is a super-2 number, since 2×490402162483842 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3977625132 + ... + 3977637460.

Almost surely, 249040216248384 is an apocalyptic number.

49040216248384 is the 7002872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49040216248384

49040216248384 is an abundant number, since it is smaller than the sum of its proper divisors (49671896147037).

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

49040216248384 is an frugal number, since it uses more digits than its factorization.

49040216248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24812 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 49040216248384 in words is "forty-nine trillion, forty billion, two hundred sixteen million, two hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 5041 10082 12329 20164 24658 40328 49316 80656 98632 161312 197264 322624 394528 789056 875359 1750718 3501436 7002872 14005744 28011488 56022976 62150489 124300978 152004241 248601956 304008482 497203912 608016964 994407824 1216033928 1988815648 2432067856 3977631296 4864135712 9728271424 10792301111 21584602222 43169204444 86338408888 172676817776 345353635552 690707271104 766253378881 1532506757762 3065013515524 6130027031048 12260054062096 24520108124192 49040216248384