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3148995960 = 2333511224097
BaseRepresentation
bin1011101110110001…
…1101110101111000
322010110101120101000
42323230131311320
522422120332320
61240245525000
7141015011145
oct27354356570
98113346330
103148995960
111376587300
1273a713760
133b2521426
1421c30d3cc
151366c5c90
hexbbb1dd78

3148995960 has 192 divisors, whose sum is σ = 11538122400. Its totient is φ = 763361280.

The previous prime is 3148995929. The next prime is 3148996009. The reversal of 3148995960 is 695998413.

3148995960 is a `hidden beast` number, since 3 + 1 + 48 + 9 + 9 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3148995897 and 3148995906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118632 + ... + 142728.

Almost surely, 23148995960 is an apocalyptic number.

3148995960 is a gapful number since it is divisible by the number (30) 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 3148995960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769061200).

3148995960 is an abundant number, since it is smaller than the sum of its proper divisors (8389126440).

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

3148995960 is a wasteful number, since it uses less digits than its factorization.

3148995960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24139 (or 24118 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 3148995960 is about 56115.9153894864. The cubic root of 3148995960 is about 1465.7414442392.

It can be divided in two parts, 31489 and 95960, that added together give a square (127449 = 3572).

The spelling of 3148995960 in words is "three billion, one hundred forty-eight million, nine hundred ninety-five thousand, nine hundred sixty".