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100455962912 = 2543213032
BaseRepresentation
bin101110110001110100…
…1000101100100100000
3100121021221121122202222
41131203221011210200
53121213211303122
6114052051530212
710154251411304
oct1354351054440
9317257548688
10100455962912
113966a854858
12175765b9968
13961c116596
144c0d831d04
15292e2a4b42
hex1763a45920

100455962912 has 54 divisors (see below), whose sum is σ = 202634517267. Its totient is φ = 49022237376.

The previous prime is 100455962837. The next prime is 100455962969. The reversal of 100455962912 is 219269554001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50227981456 + 50227981456 = 224116^2 + 224116^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=224116.

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, 77095253 + ... + 77096555.

Almost surely, 2100455962912 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 100455962912

100455962912 is an abundant number, since it is smaller than the sum of its proper divisors (102178554355).

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

100455962912 is an frugal number, since it uses more digits than its factorization.

100455962912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 100455962912 in words is "one hundred billion, four hundred fifty-five million, nine hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1303 1376 1849 2606 3698 5212 7396 10424 14792 20848 29584 41696 56029 59168 112058 224116 448232 896464 1697809 1792928 2409247 3395618 4818494 6791236 9636988 13582472 19273976 27164944 38547952 54329888 73005787 77095904 146011574 292023148 584046296 1168092592 2336185184 3139248841 6278497682 12556995364 25113990728 50227981456 100455962912