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48325315392 = 263443216791
BaseRepresentation
bin101101000000011010…
…011100101101000000
311121201212121101020000
4231000122130231000
51242432240043032
634111135120000
73330355255224
oct550032345500
9147655541200
1048325315392
1119549420792
129448073000
134731b180a3
1424a6158784
1513cc841e7c
hexb4069cb40

48325315392 has 140 divisors (see below), whose sum is σ = 146583477216. Its totient is φ = 15733751040.

The previous prime is 48325315373. The next prime is 48325315397. The reversal of 48325315392 is 29351352384.

48325315392 is a `hidden beast` number, since 4 + 8 + 3 + 253 + 1 + 5 + 392 = 666.

It is a super-2 number, since 2×483253153922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48325315397) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114517 + ... + 331307.

Almost surely, 248325315392 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 48325315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73291738608).

48325315392 is an abundant number, since it is smaller than the sum of its proper divisors (98258161824).

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

48325315392 is a wasteful number, since it uses less digits than its factorization.

48325315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216858 (or 216839 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 48325315392 in words is "forty-eight billion, three hundred twenty-five million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 387 432 516 576 648 688 774 864 1032 1161 1296 1376 1548 1728 2064 2322 2592 2752 3096 3483 4128 4644 5184 6192 6966 8256 9288 12384 13932 18576 24768 27864 37152 55728 74304 111456 216791 222912 433582 650373 867164 1300746 1734328 1951119 2601492 3468656 3902238 5202984 5853357 6937312 7804476 9322013 10405968 11706714 13874624 15608952 17560071 18644026 20811936 23413428 27966039 31217904 35120142 37288052 41623872 46826856 55932078 62435808 70240284 74576104 83898117 93653712 111864156 124871616 140480568 149152208 167796234 187307424 223728312 251694351 280961136 298304416 335592468 374614848 447456624 503388702 561922272 596608832 671184936 755083053 894913248 1006777404 1123844544 1342369872 1510166106 1789826496 2013554808 2684739744 3020332212 4027109616 5369479488 6040664424 8054219232 12081328848 16108438464 24162657696 48325315392