Search a number
-
+
149723592520 = 235192417691063
BaseRepresentation
bin1000101101110000111…
…0001011011101001000
3112022110111100120002111
42023130032023131020
54423113214430040
6152440532112104
713550201352355
oct2133416133510
9468414316074
10149723592520
1158552079117
1225026165634
1311171222038
147364b9d62c
153d646d0dea
hex22dc38b748

149723592520 has 128 divisors (see below), whose sum is σ = 356878368000. Its totient is φ = 56375377920.

The previous prime is 149723592509. The next prime is 149723592617. The reversal of 149723592520 is 25295327941.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140849509 + ... + 140850571.

It is an arithmetic number, because the mean of its divisors is an integer number (2788112250).

Almost surely, 2149723592520 is an apocalyptic number.

149723592520 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 149723592520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178439184000).

149723592520 is an abundant number, since it is smaller than the sum of its proper divisors (207154775480).

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

149723592520 is a wasteful number, since it uses less digits than its factorization.

149723592520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 149723592520 in words is "one hundred forty-nine billion, seven hundred twenty-three million, five hundred ninety-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 241 380 482 760 769 964 1063 1205 1538 1928 2126 2410 3076 3845 4252 4579 4820 5315 6152 7690 8504 9158 9640 10630 14611 15380 18316 20197 21260 22895 29222 30760 36632 40394 42520 45790 58444 73055 80788 91580 100985 116888 146110 161576 183160 185329 201970 256183 292220 370658 403940 512366 584440 741316 807880 817447 926645 1024732 1280915 1482632 1634894 1853290 2049464 2561830 3269788 3521251 3706580 4087235 4867477 5123660 6539576 7042502 7413160 8174470 9734954 10247320 14085004 15531493 16348940 17606255 19469908 24337385 28170008 31062986 32697880 35212510 38939816 48674770 62125972 70425020 77657465 97349540 124251944 140850040 155314930 194699080 197004727 310629860 394009454 621259720 788018908 985023635 1576037816 1970047270 3743089813 3940094540 7486179626 7880189080 14972359252 18715449065 29944718504 37430898130 74861796260 149723592520