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10000149984 = 2532113156613
BaseRepresentation
bin10010101000000111…
…00010110111100000
3221210221001020212100
421110003202313200
5130440014244414
64332145530400
7502545605136
oct112403426740
927727036770
1010000149984
114271907770
121b31043a00
13c34a40816
146ac1a1756
153d7ddc609
hex2540e2de0

10000149984 has 72 divisors (see below), whose sum is σ = 31023202392. Its totient is φ = 3030347520.

The previous prime is 10000149959. The next prime is 10000150007. The reversal of 10000149984 is 48994100001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575139 + ... + 1581474.

It is an arithmetic number, because the mean of its divisors is an integer number (430877811).

Almost surely, 210000149984 is an apocalyptic number.

It is an amenable number.

10000149984 is an abundant number, since it is smaller than the sum of its proper divisors (21023052408).

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

10000149984 is a wasteful number, since it uses less digits than its factorization.

10000149984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156640 (or 3156629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 10000149984 its reverse (48994100001), we get a palindrome (58994249985).

The spelling of 10000149984 in words is "ten billion, one hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3156613 6313226 9469839 12626452 18939678 25252904 28409517 34722743 37879356 50505808 56819034 69445486 75758712 101011616 104168229 113638068 138890972 151517424 208336458 227276136 277781944 303034848 312504687 416672916 454552272 555563888 625009374 833345832 909104544 1111127776 1250018748 1666691664 2500037496 3333383328 5000074992 10000149984