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149672406324 = 223719115536007
BaseRepresentation
bin1000101101100100101…
…0111010110100110100
3112022022221001000211110
42023121022322310310
54423012114000244
6152431503035020
713546010314440
oct2133112726464
9468287030743
10149672406324
1158526198181
1225010b9ba70
131116373ca4c
14735c077820
153d5ee6e9b9
hex22d92bad34

149672406324 has 96 divisors (see below), whose sum is σ = 401541267456. Its totient is φ = 42505182720.

The previous prime is 149672406319. The next prime is 149672406329. The reversal of 149672406324 is 423604276941.

149672406324 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149672406319) and next prime (149672406329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149672406329) 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, 24913329 + ... + 24919335.

It is an arithmetic number, because the mean of its divisors is an integer number (4182721536).

Almost surely, 2149672406324 is an apocalyptic number.

149672406324 is a gapful number since it is divisible by the number (14) 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 149672406324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200770633728).

149672406324 is an abundant number, since it is smaller than the sum of its proper divisors (251868861132).

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

149672406324 is a wasteful number, since it uses less digits than its factorization.

149672406324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 149672406324 in words is "one hundred forty-nine billion, six hundred seventy-two million, four hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 1553 2292 2674 3106 4011 4659 5348 6007 6212 8022 9318 10871 12014 16044 18021 18636 21742 24028 32613 36042 42049 43484 65226 72084 84098 126147 130452 168196 252294 296623 504588 593246 889869 1147337 1186492 1779738 2076361 2294674 3442011 3559476 4152722 4589348 6229083 6884022 8031359 8305444 9328871 12458166 13768044 16062718 18657742 24094077 24916332 27986613 32125436 37315484 48188154 55973226 65302097 96376308 111946452 130604194 195906291 261208388 391812582 783625164 1781814361 3563628722 5345443083 7127257444 10690886166 12472700527 21381772332 24945401054 37418101581 49890802108 74836203162 149672406324