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149932215216 = 2433749580759
BaseRepresentation
bin1000101110100010101…
…0000000101110110000
3112100000000220200122000
42023220222000232300
54424030121341331
6152513343414000
713555313541660
oct2135052005660
9470000820560
10149932215216
1158649910473
1225083bb4300
13111a5508014
1473847881a0
153d77b900e6
hex22e8a80bb0

149932215216 has 80 divisors (see below), whose sum is σ = 491841139200. Its totient is φ = 42837774912.

The previous prime is 149932215203. The next prime is 149932215217. The reversal of 149932215216 is 612512239941.

It is a happy number.

149932215216 is a `hidden beast` number, since 1 + 4 + 99 + 32 + 2 + 1 + 521 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (149932215217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24787356 + ... + 24793403.

It is an arithmetic number, because the mean of its divisors is an integer number (6148014240).

Almost surely, 2149932215216 is an apocalyptic number.

149932215216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149932215216 is an abundant number, since it is smaller than the sum of its proper divisors (341908923984).

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

149932215216 is a wasteful number, since it uses less digits than its factorization.

149932215216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49580783 (or 49580771 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 149932215216 in words is "one hundred forty-nine billion, nine hundred thirty-two million, two hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 49580759 99161518 148742277 198323036 297484554 347065313 396646072 446226831 594969108 694130626 793292144 892453662 1041195939 1189938216 1338680493 1388261252 1784907324 2082391878 2379876432 2677360986 2776522504 3123587817 3569814648 4164783756 5354721972 5553045008 6247175634 7139629296 8329567512 9370763451 10709443944 12494351268 16659135024 18741526902 21418887888 24988702536 37483053804 49977405072 74966107608 149932215216