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148204625680 = 24579113207523
BaseRepresentation
bin1000101000000110101…
…1110001111100010000
3112011112122011001022101
42022001223301330100
54412010341010210
6152030111250144
713464435350536
oct2120153617420
9464478131271
10148204625680
1157942713921
1224881519954
1310c8b61b9a7
14725d160156
153cc618ba3a
hex2281af1f10

148204625680 has 80 divisors (see below), whose sum is σ = 352027111680. Its totient is φ = 58013190144.

The previous prime is 148204625677. The next prime is 148204625707. The reversal of 148204625680 is 86526402841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1482046256802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148204625680.

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, 610399 + ... + 817921.

It is an arithmetic number, because the mean of its divisors is an integer number (4400338896).

Almost surely, 2148204625680 is an apocalyptic number.

148204625680 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 148204625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176013555840).

148204625680 is an abundant number, since it is smaller than the sum of its proper divisors (203822486000).

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

148204625680 is a wasteful number, since it uses less digits than its factorization.

148204625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207728 (or 207722 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 148204625680 in words is "one hundred forty-eight billion, two hundred four million, six hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 113 158 226 316 395 452 565 632 790 904 1130 1264 1580 1808 2260 3160 4520 6320 8927 9040 17854 35708 44635 71416 89270 142832 178540 207523 357080 415046 714160 830092 1037615 1660184 2075230 3320368 4150460 8300920 16394317 16601840 23450099 32788634 46900198 65577268 81971585 93800396 117250495 131154536 163943170 187600792 234500990 262309072 327886340 375201584 469001980 655772680 938003960 1311545360 1852557821 1876007920 3705115642 7410231284 9262789105 14820462568 18525578210 29640925136 37051156420 74102312840 148204625680