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5387176480 = 255727117749
BaseRepresentation
bin1010000010001100…
…11100101000100000
3111220102220220211211
411001012130220200
542013104121410
62250321515504
7250333146610
oct50106345040
914812826754
105387176480
112314a14474
1210641a2b94
1367b1303ba
14391688a40
15217e3568a
hex14119ca20

5387176480 has 96 divisors (see below), whose sum is σ = 14599872000. Its totient is φ = 1840112640.

The previous prime is 5387176477. The next prime is 5387176489. The reversal of 5387176480 is 846717835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5387176489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294646 + ... + 312394.

It is an arithmetic number, because the mean of its divisors is an integer number (152082000).

Almost surely, 25387176480 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 5387176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299936000).

5387176480 is an abundant number, since it is smaller than the sum of its proper divisors (9212695520).

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

5387176480 is a wasteful number, since it uses less digits than its factorization.

5387176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042 (or 18034 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 5387176480 is about 73397.3874194443. The cubic root of 5387176480 is about 1753.0207940302.

The spelling of 5387176480 in words is "five billion, three hundred eighty-seven million, one hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3794 4336 5420 7588 8672 9485 10840 15176 17749 18970 21680 30352 35498 37940 43360 60704 70996 75880 88745 124243 141992 151760 177490 248486 283984 303520 354980 496972 567968 621215 709960 993944 1242430 1419920 1987888 2484860 2839840 3975776 4809979 4969720 9619958 9939440 19239916 19878880 24049895 33669853 38479832 48099790 67339706 76959664 96199580 134679412 153919328 168349265 192399160 269358824 336698530 384798320 538717648 673397060 769596640 1077435296 1346794120 2693588240 5387176480