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148924630752 = 2531679289211
BaseRepresentation
bin1000101010110010011…
…0011000011011100000
3112020101210222002120220
42022230212120123200
54414444201141002
6152225351403040
713521330321642
oct2125446303340
9466353862526
10148924630752
1158182087337
1224a42683480
13110748438b1
1472caa24892
153d194b17bc
hex22ac9986e0

148924630752 has 48 divisors (see below), whose sum is σ = 393268079232. Its totient is φ = 49344283520.

The previous prime is 148924630733. The next prime is 148924630763. The reversal of 148924630752 is 257036429841.

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

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 148924630695 and 148924630704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4628574 + ... + 4660637.

It is an arithmetic number, because the mean of its divisors is an integer number (8193084984).

It is a 1-persistent number, because it is pandigital, but 2⋅148924630752 = 297849261504 is not.

Almost surely, 2148924630752 is an apocalyptic number.

148924630752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148924630752 is an abundant number, since it is smaller than the sum of its proper divisors (244343448480).

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

148924630752 is a wasteful number, since it uses less digits than its factorization.

148924630752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9289391 (or 9289383 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 148924630752 in words is "one hundred forty-eight billion, nine hundred twenty-four million, six hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 9289211 18578422 27867633 37156844 55735266 74313688 111470532 148627376 222941064 297254752 445882128 891764256 1551298237 3102596474 4653894711 6205192948 9307789422 12410385896 18615578844 24820771792 37231157688 49641543584 74462315376 148924630752