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145179957984 = 2536132467033
BaseRepresentation
bin1000011100110101100…
…1100101101011100000
3111212201211201000020220
42013031121211223200
54334312032123414
6150410022203040
713326460165425
oct2071531455340
9455654630226
10145179957984
1156630335256
1224178583480
13108c8aab5a9
147053575d4c
153b9a873ca9
hex21cd665ae0

145179957984 has 48 divisors (see below), whose sum is σ = 381719236752. Its totient is φ = 48314354688.

The previous prime is 145179957943. The next prime is 145179957991. The reversal of 145179957984 is 489759971541.

145179957984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174669 + ... + 1292364.

It is an arithmetic number, because the mean of its divisors is an integer number (7952484099).

Almost surely, 2145179957984 is an apocalyptic number.

It is an amenable number.

145179957984 is an abundant number, since it is smaller than the sum of its proper divisors (236539278768).

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

145179957984 is a wasteful number, since it uses less digits than its factorization.

145179957984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467659 (or 2467651 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 69.

The spelling of 145179957984 in words is "one hundred forty-five billion, one hundred seventy-nine million, nine hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 613 1226 1839 2452 3678 4904 7356 9808 14712 19616 29424 58848 2467033 4934066 7401099 9868132 14802198 19736264 29604396 39472528 59208792 78945056 118417584 236835168 1512291229 3024582458 4536873687 6049164916 9073747374 12098329832 18147494748 24196659664 36294989496 48393319328 72589978992 145179957984