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100074327056 = 24112926877297
BaseRepresentation
bin101110100110011100…
…1010000110000010000
3100120022100111112210122
41131030321100300100
53114423011431211
6113550140045412
710141635513314
oct1351471206020
9316270445718
10100074327056
1139494392120
121748a833868
13958b034952
144bb4c8bb44
15290aa1c6db
hex174ce50c10

100074327056 has 80 divisors (see below), whose sum is σ = 218925987840. Its totient is φ = 43897405440.

The previous prime is 100074327037. The next prime is 100074327061. The reversal of 100074327056 is 650723470001.

It is a super-2 number, since 2×1000743270562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13710800 + ... + 13718096.

It is an arithmetic number, because the mean of its divisors is an integer number (2736574848).

Almost surely, 2100074327056 is an apocalyptic number.

100074327056 is a gapful number since it is divisible by the number (16) 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 100074327056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109462993920).

100074327056 is an abundant number, since it is smaller than the sum of its proper divisors (118851660784).

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

100074327056 is a wasteful number, since it uses less digits than its factorization.

100074327056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10026 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

Adding to 100074327056 its reverse (650723470001), we get a palindrome (750797797057).

The spelling of 100074327056 in words is "one hundred billion, seventy-four million, three hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 2687 5104 5374 7297 10748 14594 21496 29188 29557 42992 58376 59114 77923 80267 116752 118228 155846 160534 211613 236456 311692 321068 423226 472912 623384 642136 846452 857153 1246768 1284272 1692904 1714306 2327743 3385808 3428612 4655486 6857224 9310972 13714448 18621944 19607039 37243888 39214078 78428156 156856312 215677429 313712624 431354858 568604131 862709716 1137208262 1725419432 2274416524 3450838864 4548833048 6254645441 9097666096 12509290882 25018581764 50037163528 100074327056