Search a number
-
+
97923921952 = 25233126316319
BaseRepresentation
bin101101100110010111…
…0000111100000100000
3100100202111010122120011
41123030232013200200
53101022011000302
6112552521254304
710034434413553
oct1331456074040
9310674118504
1097923921952
1138590556a1a
1216b8a634394
1393076791ac
144a4d44069a
152831d4a5d7
hex16ccb87820

97923921952 has 96 divisors (see below), whose sum is σ = 208461496320. Its totient is φ = 45147336960.

The previous prime is 97923921923. The next prime is 97923921959. The reversal of 97923921952 is 25912932979.

It is a super-2 number, since 2×979239219522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97923921959) 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, 5992449 + ... + 6008767.

It is an arithmetic number, because the mean of its divisors is an integer number (2171473920).

Almost surely, 297923921952 is an apocalyptic number.

97923921952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97923921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104230748160).

97923921952 is an abundant number, since it is smaller than the sum of its proper divisors (110537574368).

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

97923921952 is a wasteful number, since it uses less digits than its factorization.

97923921952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16646 (or 16638 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 58.

The spelling of 97923921952 in words is "ninety-seven billion, nine hundred twenty-three million, nine hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 263 368 496 526 713 736 992 1052 1426 2104 2852 4208 5704 6049 8153 8416 11408 12098 16306 16319 22816 24196 32612 32638 48392 65224 65276 96784 130448 130552 187519 193568 260896 261104 375038 375337 505889 522208 750076 750674 1011778 1500152 1501348 2023556 3000304 3002696 4047112 4291897 6000608 6005392 8094224 8583794 11635447 12010784 16188448 17167588 23270894 34335176 46541788 68670352 93083576 98713631 133048807 137340704 186167152 197427262 266097614 372334304 394854524 532195228 789709048 1064390456 1579418096 2128780912 3060122561 3158836192 4257561824 6120245122 12240490244 24480980488 48961960976 97923921952