Search a number
-
+
148080074674716 = 223223178840669897
BaseRepresentation
bin100001101010110110010100…
…001111111101001000011100
3201102022022120000020212220200
4201222312110033331020130
5123402120443104042331
61242535014105143500
743122301202563422
oct4152662417751034
9642268500225820
10148080074674716
11432014527947a8
1214736ab148ab90
136481b77a53b92
14287d1845c3112
15121bd812715e6
hex86ad943fd21c

148080074674716 has 36 divisors (see below), whose sum is σ = 390588023057232. Its totient is φ = 47213936852544.

The previous prime is 148080074674709. The next prime is 148080074674723. The reversal of 148080074674716 is 617476470080841.

It is a happy number.

148080074674716 is a `hidden beast` number, since 1 + 4 + 80 + 80 + 0 + 7 + 4 + 6 + 7 + 471 + 6 = 666.

148080074674716 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148080074674709) and next prime (148080074674723).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1480800746747163 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89420334121 + ... + 89420335776.

Almost surely, 2148080074674716 is an apocalyptic number.

It is an amenable number.

148080074674716 is an abundant number, since it is smaller than the sum of its proper divisors (242507948382516).

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

148080074674716 is a wasteful number, since it uses less digits than its factorization.

148080074674716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178840669930 (or 178840669925 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 148080074674716 in words is "one hundred forty-eight trillion, eighty billion, seventy-four million, six hundred seventy-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 178840669897 357681339794 536522009691 715362679588 1073044019382 1609566029073 2146088038764 3219132058146 4113335407631 6438264116292 8226670815262 12340006222893 16453341630524 24680012445786 37020018668679 49360024891572 74040037337358 148080074674716