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148815405456 = 24310136783641
BaseRepresentation
bin1000101010011000010…
…1101110000110010000
3112020010012102212122120
42022212011232012100
54414233220433311
6152210450334240
713515533034564
oct2124605560620
9466105385576
10148815405456
11581264647a3
1224a11b8a380
1311058020043
1472ba3116a4
153d0ead8706
hex22a616e190

148815405456 has 80 divisors (see below), whose sum is σ = 389308677888. Its totient is φ = 48979584000.

The previous prime is 148815405451. The next prime is 148815405457. The reversal of 148815405456 is 654504518841.

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

It is a junction number, because it is equal to n+sod(n) for n = 148815405399 and 148815405408.

It is not an unprimeable number, because it can be changed into a prime (148815405451) 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, 1737396 + ... + 1821036.

Almost surely, 2148815405456 is an apocalyptic number.

148815405456 is a gapful number since it is divisible by the number (16) 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 148815405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194654338944).

148815405456 is an abundant number, since it is smaller than the sum of its proper divisors (240493272432).

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

148815405456 is a wasteful number, since it uses less digits than its factorization.

148815405456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84120 (or 84114 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 51.

The spelling of 148815405456 in words is "one hundred forty-eight billion, eight hundred fifteen million, four hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 367 404 606 734 808 1101 1212 1468 1616 2202 2424 2936 4404 4848 5872 8808 17616 37067 74134 83641 111201 148268 167282 222402 250923 296536 334564 444804 501846 593072 669128 889608 1003692 1338256 1779216 2007384 4014768 8447741 16895482 25343223 30696247 33790964 50686446 61392494 67581928 92088741 101372892 122784988 135163856 184177482 202745784 245569976 368354964 405491568 491139952 736709928 1473419856 3100320947 6200641894 9300962841 12401283788 18601925682 24802567576 37203851364 49605135152 74407702728 148815405456