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149515796980 = 2251112730717431
BaseRepresentation
bin1000101100111111010…
…1100000000111110100
3112021221000100110012101
42023033311200013310
54422202021000410
6152404150231444
713542066206434
oct2131765400764
9467830313171
10149515796980
1158455851270
1224b88655584
131113a1686b4
14734534c2c4
153d51336d3a
hex22cfd601f4

149515796980 has 96 divisors (see below), whose sum is σ = 346368540672. Its totient is φ = 53762486400.

The previous prime is 149515796957. The next prime is 149515796999. The reversal of 149515796980 is 89697515941.

149515796980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8568865 + ... + 8586295.

It is an arithmetic number, because the mean of its divisors is an integer number (3608005632).

Almost surely, 2149515796980 is an apocalyptic number.

149515796980 is a gapful number since it is divisible by the number (10) 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 149515796980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173184270336).

149515796980 is an abundant number, since it is smaller than the sum of its proper divisors (196852743692).

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

149515796980 is a wasteful number, since it uses less digits than its factorization.

149515796980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17885 (or 17883 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 64.

The spelling of 149515796980 in words is "one hundred forty-nine billion, five hundred fifteen million, seven hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 307 508 614 635 1228 1270 1397 1535 2540 2794 3070 3377 5588 6140 6754 6985 13508 13970 16885 17431 27940 33770 34862 38989 67540 69724 77978 87155 155956 174310 191741 194945 348620 383482 389890 428879 766964 779780 857758 958705 1715516 1917410 2144395 2213737 3834820 4288790 4427474 5351317 8577580 8854948 10702634 11068685 21405268 22137370 24351107 26756585 44274740 48702214 53513170 58864487 97404428 107026340 117728974 121755535 235457948 243511070 294322435 487022140 588644870 679617259 1177289740 1359234518 2718469036 3398086295 6796172590 7475789849 13592345180 14951579698 29903159396 37378949245 74757898490 149515796980