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150393483920 = 2454744989083
BaseRepresentation
bin1000110000010000100…
…1100111001010010000
3112101012011212120100002
42030010021213022100
54431001212441140
6153031222145132
713602614343461
oct2140411471220
9471164776302
10150393483920
1158866223479
12251925821a8
1311249c4bb94
1473c9b3ad68
153da3407415
hex2304267290

150393483920 has 80 divisors (see below), whose sum is σ = 357903878400. Its totient is φ = 58745659392.

The previous prime is 150393483907. The next prime is 150393483941. The reversal of 150393483920 is 29384393051.

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 (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643699 + ... + 1732781.

It is an arithmetic number, because the mean of its divisors is an integer number (4473798480).

Almost surely, 2150393483920 is an apocalyptic number.

150393483920 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 150393483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178951939200).

150393483920 is an abundant number, since it is smaller than the sum of its proper divisors (207510394480).

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

150393483920 is a wasteful number, since it uses less digits than its factorization.

150393483920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89592 (or 89586 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 150393483920 in words is "one hundred fifty billion, three hundred ninety-three million, four hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 449 470 752 898 940 1796 1880 2245 3592 3760 4490 7184 8980 17960 21103 35920 42206 84412 89083 105515 168824 178166 211030 337648 356332 422060 445415 712664 844120 890830 1425328 1688240 1781660 3563320 4186901 7126640 8373802 16747604 20934505 33495208 39998267 41869010 66990416 79996534 83738020 159993068 167476040 199991335 319986136 334952080 399982670 639972272 799965340 1599930680 1879918549 3199861360 3759837098 7519674196 9399592745 15039348392 18799185490 30078696784 37598370980 75196741960 150393483920