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148034629536 = 2536521236471
BaseRepresentation
bin1000100111011110001…
…1010010111110100000
3112011002210021100102220
42021313203102332200
54411133331121121
6152001155511040
713460302406133
oct2116743227640
9464083240386
10148034629536
1157865764242
12248345b8480
1310c6233b361
14724474c21a
153cb62ac6c6
hex22778d2fa0

148034629536 has 48 divisors (see below), whose sum is σ = 388652136768. Its totient is φ = 49337100800.

The previous prime is 148034629531. The next prime is 148034629541. The reversal of 148034629536 is 635926430841.

148034629536 is digitally balanced in base 2, because in such base 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 (148034629531) and next prime (148034629541).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (148034629531) 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 7 ways as a sum of consecutive naturals, for example, 507781 + ... + 744251.

It is an arithmetic number, because the mean of its divisors is an integer number (8096919516).

Almost surely, 2148034629536 is an apocalyptic number.

148034629536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148034629536 is an abundant number, since it is smaller than the sum of its proper divisors (240617507232).

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

148034629536 is a wasteful number, since it uses less digits than its factorization.

148034629536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243005 (or 242997 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 148034629536 in words is "one hundred forty-eight billion, thirty-four million, six hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6521 13042 19563 26084 39126 52168 78252 104336 156504 208672 236471 313008 472942 626016 709413 945884 1418826 1891768 2837652 3783536 5675304 7567072 11350608 22701216 1542027391 3084054782 4626082173 6168109564 9252164346 12336219128 18504328692 24672438256 37008657384 49344876512 74017314768 148034629536