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145064062624 = 25132927144371
BaseRepresentation
bin1000011100011001111…
…1011110111010100000
3111212102202121220201011
42013012133132322200
54334042400000444
6150350322150304
713323552121165
oct2070637367240
9455382556634
10145064062624
1156580977368
12241457b2394
13108aaa90a60
14704200806c
153b905ce734
hex21c67deea0

145064062624 has 96 divisors (see below), whose sum is σ = 319350608640. Its totient is φ = 64403942400.

The previous prime is 145064062613. The next prime is 145064062631. The reversal of 145064062624 is 426260460541.

It is a happy 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, 3247159 + ... + 3291529.

It is an arithmetic number, because the mean of its divisors is an integer number (3326568840).

Almost surely, 2145064062624 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 145064062624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159675304320).

145064062624 is an abundant number, since it is smaller than the sum of its proper divisors (174286546016).

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

145064062624 is a wasteful number, since it uses less digits than its factorization.

145064062624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44694 (or 44686 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 145064062624 in words is "one hundred forty-five billion, sixty-four million, sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 271 377 416 464 542 754 928 1084 1508 2168 3016 3523 4336 6032 7046 7859 8672 12064 14092 15718 28184 31436 44371 56368 62872 88742 102167 112736 125744 177484 204334 251488 354968 408668 576823 709936 817336 1153646 1286759 1419872 1634672 2307292 2573518 3269344 4614584 5147036 9229168 10294072 12024541 16727867 18458336 20588144 24049082 33455734 41176288 48098164 66911468 96196328 133822936 156319033 192392656 267645872 312638066 348711689 384785312 535291744 625276132 697423378 1250552264 1394846756 2501104528 2789693512 4533251957 5002209056 5579387024 9066503914 11158774048 18133007828 36266015656 72532031312 145064062624