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7125773328 = 24321376012
BaseRepresentation
bin1101010001011101…
…01010110000010000
3200101121101210100200
412220232222300100
5104043144221303
63135030015200
7341404034232
oct65056526020
920347353320
107125773328
113027349a73
12146a4a7500
138973a192b
144b853a252
152ba8b03a3
hex1a8baac10

7125773328 has 90 divisors (see below), whose sum is σ = 20121312042. Its totient is φ = 2353996800.

The previous prime is 7125773273. The next prime is 7125773371. The reversal of 7125773328 is 8233775217.

It is a happy number.

7125773328 is a `hidden beast` number, since 7 + 1 + 257 + 73 + 328 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3746908944 + 3378864384 = 61212^2 + 58128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11856228 + ... + 11856828.

Almost surely, 27125773328 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 7125773328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060656021).

7125773328 is an abundant number, since it is smaller than the sum of its proper divisors (12995538714).

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

7125773328 is a wasteful number, since it uses less digits than its factorization.

7125773328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 743 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 7125773328 is about 84414.2957561099. The cubic root of 7125773328 is about 1924.3201807499.

The spelling of 7125773328 in words is "seven billion, one hundred twenty-five million, seven hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 601 822 1096 1202 1233 1644 1803 2192 2404 2466 3288 3606 4808 4932 5409 6576 7212 9616 9864 10818 14424 19728 21636 28848 43272 82337 86544 164674 247011 329348 361201 494022 658696 722402 741033 988044 1083603 1317392 1444804 1482066 1976088 2167206 2889608 2964132 3250809 3952176 4334412 5779216 5928264 6501618 8668824 11856528 13003236 17337648 26006472 49484537 52012944 98969074 148453611 197938148 296907222 395876296 445360833 593814444 791752592 890721666 1187628888 1781443332 2375257776 3562886664 7125773328