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151216104420 = 22335691405253
BaseRepresentation
bin1000110011010100101…
…1101010001111100100
3112110022111210000112000
42030311023222033210
54434142310320140
6153245005525300
713632163452123
oct2146513521744
9473274700460
10151216104420
1159148604427
1225381b73830
131134b4c1b84
1474670b3aba
153e0074ba30
hex23352ea3e4

151216104420 has 96 divisors (see below), whose sum is σ = 471132090240. Its totient is φ = 40265838720.

The previous prime is 151216104397. The next prime is 151216104427. The reversal of 151216104420 is 24401612151.

151216104420 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 1 + 610 + 4 + 42 + 0 = 666.

151216104420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151216104427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170514 + ... + 575766.

It is an arithmetic number, because the mean of its divisors is an integer number (4907625940).

Almost surely, 2151216104420 is an apocalyptic number.

151216104420 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 151216104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235566045120).

151216104420 is an abundant number, since it is smaller than the sum of its proper divisors (319915985820).

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

151216104420 is a wasteful number, since it uses less digits than its factorization.

151216104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405962 (or 405954 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 151216104420 its reverse (24401612151), we get a palindrome (175617716571).

The spelling of 151216104420 in words is "one hundred fifty-one billion, two hundred sixteen million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 691 1382 2073 2764 3455 4146 6219 6910 8292 10365 12438 13820 18657 20730 24876 31095 37314 41460 62190 74628 93285 124380 186570 373140 405253 810506 1215759 1621012 2026265 2431518 3647277 4052530 4863036 6078795 7294554 8105060 10941831 12157590 14589108 18236385 21883662 24315180 36472770 43767324 54709155 72945540 109418310 218836620 280029823 560059646 840089469 1120119292 1400149115 1680178938 2520268407 2800298230 3360357876 4200447345 5040536814 5600596460 7560805221 8400894690 10081073628 12601342035 15121610442 16801789380 25202684070 30243220884 37804026105 50405368140 75608052210 151216104420