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150398353920 = 293519583119
BaseRepresentation
bin1000110000010001110…
…0001100001000000000
3112101012112000222201110
42030010130030020000
54431003434311140
6153031514403320
713603003625643
oct2140434141000
9471175028643
10150398353920
1158868a4a371
1225194130540
131124ac65739
1473ca647a5a
153da3a6a380
hex230470c200

150398353920 has 80 divisors (see below), whose sum is σ = 480804762240. Its totient is φ = 40106225664.

The previous prime is 150398353901. The next prime is 150398353927. The reversal of 150398353920 is 29353893051.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150398353920.

It is not an unprimeable number, because it can be changed into a prime (150398353927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9783880 + ... + 9799239.

It is an arithmetic number, because the mean of its divisors is an integer number (6010059528).

Almost surely, 2150398353920 is an apocalyptic number.

150398353920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150398353920 is an abundant number, since it is smaller than the sum of its proper divisors (330406408320).

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

150398353920 is an equidigital number, since it uses as much as digits as its factorization.

150398353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19583145 (or 19583129 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 150398353920 in words is "one hundred fifty billion, three hundred ninety-eight million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 19583119 39166238 58749357 78332476 97915595 117498714 156664952 195831190 234997428 293746785 313329904 391662380 469994856 587493570 626659808 783324760 939989712 1174987140 1253319616 1566649520 1879979424 2349974280 2506639232 3133299040 3759958848 4699948560 5013278464 6266598080 7519917696 9399897120 10026556928 12533196160 15039835392 18799794240 25066392320 30079670784 37599588480 50132784640 75199176960 150398353920