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145025526624 = 253111061129439
BaseRepresentation
bin1000011100010000110…
…0011110101101100000
3111212100002010002020220
42013010030132231200
54334003013322444
6150342424203040
713322603431266
oct2070414365540
9455302102226
10145025526624
1156561146730
1224134909480
13108a2aba6a4
14703ac56436
153b8c01b619
hex21c431eb60

145025526624 has 96 divisors (see below), whose sum is σ = 415695006720. Its totient is φ = 43905369600.

The previous prime is 145025526619. The next prime is 145025526677. The reversal of 145025526624 is 426625520541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055697 + ... + 1185135.

It is an arithmetic number, because the mean of its divisors is an integer number (4330156320).

Almost surely, 2145025526624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145025526624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207847503360).

145025526624 is an abundant number, since it is smaller than the sum of its proper divisors (270669480096).

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

145025526624 is a wasteful number, since it uses less digits than its factorization.

145025526624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130524 (or 130516 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 145025526624 in words is "one hundred forty-five billion, twenty-five million, five hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1061 2122 3183 4244 6366 8488 11671 12732 16976 23342 25464 33952 35013 46684 50928 70026 93368 101856 129439 140052 186736 258878 280104 373472 388317 517756 560208 776634 1035512 1120416 1423829 1553268 2071024 2847658 3106536 4142048 4271487 5695316 6213072 8542974 11390632 12426144 17085948 22781264 34171896 45562528 68343792 136687584 137334779 274669558 412004337 549339116 824008674 1098678232 1510682569 1648017348 2197356464 3021365138 3296034696 4394712928 4532047707 6042730276 6592069392 9064095414 12085460552 13184138784 18128190828 24170921104 36256381656 48341842208 72512763312 145025526624