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48213545472 = 293211392593
BaseRepresentation
bin101100111001110000…
…000101001000000000
311121110002021212201100
4230321300011020000
51242220131423342
634052103334400
73324530242341
oct547160051000
9147402255640
1048213545472
11194a1320354
129416751400
134714913241
1424953820c8
1513c2b14e4c
hexb39c05200

48213545472 has 120 divisors (see below), whose sum is σ = 140380467084. Its totient is φ = 15928786944.

The previous prime is 48213545467. The next prime is 48213545531. The reversal of 48213545472 is 27454531284.

48213545472 is a `hidden beast` number, since 4 + 8 + 2 + 135 + 45 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48182006016 + 31539456 = 219504^2 + 5616^2 .

It is a super-2 number, since 2×482135454722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474408 + ... + 567000.

Almost surely, 248213545472 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 48213545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70190233542).

48213545472 is an abundant number, since it is smaller than the sum of its proper divisors (92166921612).

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

48213545472 is a wasteful number, since it uses less digits than its factorization.

48213545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92730 (or 92711 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 48213545472 in words is "forty-eight billion, two hundred thirteen million, five hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 1017 1152 1356 1536 1808 2034 2304 2712 3616 4068 4608 5424 7232 8136 10848 14464 16272 21696 28928 32544 43392 57856 65088 86784 92593 130176 173568 185186 260352 277779 370372 520704 555558 740744 833337 1111116 1481488 1666674 2222232 2962976 3333348 4444464 5925952 6666696 8888928 10463009 11851904 13333392 17777856 20926018 23703808 26666784 31389027 35555712 41852036 47407616 53333568 62778054 71111424 83704072 94167081 106667136 125556108 142222848 167408144 188334162 213334272 251112216 334816288 376668324 426668544 502224432 669632576 753336648 1004448864 1339265152 1506673296 2008897728 2678530304 3013346592 4017795456 5357060608 6026693184 8035590912 12053386368 16071181824 24106772736 48213545472