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153951213912 = 23361331331741
BaseRepresentation
bin1000111101100000110…
…1010001100101011000
3112201101010100222101120
42033120031101211120
510010243002321122
6154420232445240
714060024504226
oct2173015214530
9481333328346
10153951213912
115a3214a06a1
1225a05b49820
131169604c162
147646445b16
15401091975c
hex23d8351958

153951213912 has 64 divisors (see below), whose sum is σ = 391317915360. Its totient is φ = 50458982400.

The previous prime is 153951213887. The next prime is 153951213967. The reversal of 153951213912 is 219312159351.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4834362 + ... + 4866102.

Almost surely, 2153951213912 is an apocalyptic number.

153951213912 is a gapful number since it is divisible by the number (12) 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 153951213912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195658957680).

153951213912 is an abundant number, since it is smaller than the sum of its proper divisors (237366701448).

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

153951213912 is a wasteful number, since it uses less digits than its factorization.

153951213912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35124 (or 35120 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The spelling of 153951213912 in words is "one hundred fifty-three billion, nine hundred fifty-one million, two hundred thirteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 3313 6626 9939 13252 19878 26504 31741 39756 63482 79512 95223 126964 190446 202093 253928 380892 404186 606279 761784 808372 1212558 1616744 1936201 2425116 3872402 4850232 5808603 7744804 11617206 15489608 23234412 46468824 105157933 210315866 315473799 420631732 630947598 841263464 1261895196 2523790392 6414633913 12829267826 19243901739 25658535652 38487803478 51317071304 76975606956 153951213912