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145125250293952 = 2617413253345819
BaseRepresentation
bin100000111111110110011010…
…111111011110000011000000
3201000211211122012212211211101
4200333312122333132003000
5123010213003033401302
61232353341500024144
742365644664006125
oct4077663277360300
9630754565784741
10145125250293952
1142272300424435
121433a2b4832054
1362c9338634026
1427ba1573d274c
1511ba092aab287
hex83fd9afde0c0

145125250293952 has 56 divisors (see below), whose sum is σ = 312360238869840. Its totient is φ = 66628522352640.

The previous prime is 145125250293949. The next prime is 145125250293983. The reversal of 145125250293952 is 259392052521541.

It is a super-2 number, since 2×1451252502939522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145125250293893 and 145125250293902.

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, 1626628302 + ... + 1626717517.

It is an arithmetic number, because the mean of its divisors is an integer number (5577861408390).

Almost surely, 2145125250293952 is an apocalyptic number.

It is an amenable number.

145125250293952 is an abundant number, since it is smaller than the sum of its proper divisors (167234988575888).

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

145125250293952 is a wasteful number, since it uses less digits than its factorization.

145125250293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253345889 (or 3253345879 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 55.

The spelling of 145125250293952 in words is "one hundred forty-five trillion, one hundred twenty-five billion, two hundred fifty million, two hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 22304 44608 3253345819 6506691638 13013383276 26026766552 52053533104 55306878923 104107066208 110613757846 133387178579 208214132416 221227515692 266774357158 442455031384 533548714316 884910062768 1067097428632 1769820125536 2134194857264 2267582035843 3539640251072 4268389714528 4535164071686 8536779429056 9070328143372 18140656286744 36281312573488 72562625146976 145125250293952