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148105851792 = 24347459714281
BaseRepresentation
bin1000100111101111001…
…0111111001110010000
3112011021202021211000020
42021323302333032100
54411310044224132
6152012222223440
713462125653163
oct2117362771620
9464252254006
10148105851792
11578a198a608
1224854424b80
1310c740172c2
14724ddabada
153cbc67a52c
hex227bcbf390

148105851792 has 80 divisors (see below), whose sum is σ = 390859721472. Its totient is φ = 48304327680.

The previous prime is 148105851779. The next prime is 148105851797. The reversal of 148105851792 is 297158501841.

It is a happy number.

It is a super-2 number, since 2×1481058517922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148105851797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10363692 + ... + 10377972.

Almost surely, 2148105851792 is an apocalyptic number.

148105851792 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 148105851792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195429860736).

148105851792 is an abundant number, since it is smaller than the sum of its proper divisors (242753869680).

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

148105851792 is a wasteful number, since it uses less digits than its factorization.

148105851792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18936 (or 18930 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 148105851792 in words is "one hundred forty-eight billion, one hundred five million, eight hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 4597 9194 13791 14281 18388 27582 28562 36776 42843 55164 57124 73552 85686 110328 114248 171372 216059 220656 228496 342744 432118 648177 671207 685488 864236 1296354 1342414 1728472 2013621 2592708 2684828 3456944 4027242 5185416 5369656 8054484 10370832 10739312 16108968 32217936 65649757 131299514 196949271 262599028 393898542 525198056 787797084 1050396112 1575594168 3085538579 3151188336 6171077158 9256615737 12342154316 18513231474 24684308632 37026462948 49368617264 74052925896 148105851792