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5388175632 = 2437212311861
BaseRepresentation
bin1010000010010100…
…10000100100010000
3111220111210200102110
411001022100210100
542013333110012
62250355145320
7250344510600
oct50112204420
914814720373
105388175632
112315537114
1210645a5240
1367b3c0108
14391868c00
1521808173c
hex141290910

5388175632 has 120 divisors (see below), whose sum is σ = 16213878912. Its totient is φ = 1537401600.

The previous prime is 5388175631. The next prime is 5388175633. The reversal of 5388175632 is 2365718835.

It is an interprime number because it is at equal distance from previous prime (5388175631) and next prime (5388175633).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5388175631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2894382 + ... + 2896242.

Almost surely, 25388175632 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 5388175632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106939456).

5388175632 is an abundant number, since it is smaller than the sum of its proper divisors (10825703280).

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

5388175632 is a wasteful number, since it uses less digits than its factorization.

5388175632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3104 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 5388175632 is about 73404.1935586789. The cubic root of 5388175632 is about 1753.1291640929.

The spelling of 5388175632 in words is "five billion, three hundred eighty-eight million, one hundred seventy-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1231 1861 2352 2462 3693 3722 4924 5583 7386 7444 8617 9848 11166 13027 14772 14888 17234 19696 22332 25851 26054 29544 29776 34468 39081 44664 51702 52108 59088 60319 68936 78162 89328 91189 103404 104216 120638 137872 156324 180957 182378 206808 208432 241276 273567 312648 361914 364756 413616 482552 547134 625296 723828 729512 965104 1094268 1447656 1459024 2188536 2290891 2895312 4377072 4581782 6872673 9163564 13745346 16036237 18327128 27490692 32072474 36654256 48108711 54981384 64144948 96217422 109962768 112253659 128289896 192434844 224507318 256579792 336760977 384869688 449014636 673521954 769739376 898029272 1347043908 1796058544 2694087816 5388175632