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148757973408 = 253211172473457
BaseRepresentation
bin1000101010001010101…
…0101000100110100000
3112012222012101000200200
42022202222220212200
54414124020122113
6152201035345200
713514234624322
oct2124252504640
9465865330620
10148757973408
11580a6aa81a0
12249b68b2200
1311049161b95
1472b2841612
153d09a41873
hex22a2aa89a0

148757973408 has 432 divisors, whose sum is σ = 500806260864. Its totient is φ = 41511813120.

The previous prime is 148757973383. The next prime is 148757973433. The reversal of 148757973408 is 804379757841.

148757973408 is a `hidden beast` number, since 14 + 8 + 7 + 579 + 7 + 3 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (148757973383) and next prime (148757973433).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43029216 + ... + 43032672.

It is an arithmetic number, because the mean of its divisors is an integer number (1159273752).

Almost surely, 2148757973408 is an apocalyptic number.

148757973408 is a gapful number since it is divisible by the number (18) 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 148757973408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250403130432).

148757973408 is an abundant number, since it is smaller than the sum of its proper divisors (352048287456).

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

148757973408 is a wasteful number, since it uses less digits than its factorization.

148757973408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 148757973408 in words is "one hundred forty-eight billion, seven hundred fifty-seven million, nine hundred seventy-three thousand, four hundred eight".