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145872747216 = 24327144715027
BaseRepresentation
bin1000011111011010110…
…0010111101011010000
3111221112010022100102100
42013312230113223100
54342221410402331
6151002451120400
713352601615210
oct2076654275320
9457463270370
10145872747216
11569563aa039
12243305a3100
13109a9494851
1470bb594240
153bdb5beae6
hex21f6b17ad0

145872747216 has 60 divisors (see below), whose sum is σ = 466561250272. Its totient is φ = 41677927488.

The previous prime is 145872747169. The next prime is 145872747217. The reversal of 145872747216 is 612747278541.

145872747216 is a `hidden beast` number, since 1 + 4 + 587 + 2 + 7 + 47 + 2 + 16 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145872747217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72356506 + ... + 72358521.

Almost surely, 2145872747216 is an apocalyptic number.

145872747216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145872747216 is an abundant number, since it is smaller than the sum of its proper divisors (320688503056).

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

145872747216 is a wasteful number, since it uses less digits than its factorization.

145872747216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144715048 (or 144715039 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 145872747216 in words is "one hundred forty-five billion, eight hundred seventy-two million, seven hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 144715027 289430054 434145081 578860108 868290162 1013005189 1157720216 1302435243 1736580324 2026010378 2315440432 2604870486 3039015567 3473160648 4052020756 5209740972 6078031134 6946321296 8104041512 9117046701 10419481944 12156062268 16208083024 18234093402 20838963888 24312124536 36468186804 48624249072 72936373608 145872747216