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78929531136 = 283419512
BaseRepresentation
bin100100110000010010…
…0010001000100000000
321112201201211121210000
41021200210101010000
52243121424444021
6100132033440000
75462642642061
oct1114044210400
9245651747700
1078929531136
1130523731a75
1213369410000
13759b4238a1
143b6a926568
1520be51cb26
hex1260911100

78929531136 has 135 divisors (see below), whose sum is σ = 235474274343. Its totient is φ = 26296358400.

The previous prime is 78929531129. The next prime is 78929531137. The reversal of 78929531136 is 63113592987.

The square root of 78929531136 is 280944.

It is a perfect power (a square), and thus also a powerful number.

78929531136 is a `hidden beast` number, since 7 + 8 + 9 + 295 + 311 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78929531137) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40454961 + ... + 40456911.

Almost surely, 278929531136 is an apocalyptic number.

78929531136 is the 280944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78929531136

78929531136 is an abundant number, since it is smaller than the sum of its proper divisors (156544743207).

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

78929531136 is an frugal number, since it uses more digits than its factorization.

78929531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 1956 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 78929531136 in words is "seventy-eight billion, nine hundred twenty-nine million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 1951 2304 2592 3456 3902 5184 5853 6912 7804 10368 11706 15608 17559 20736 23412 31216 35118 46824 52677 62432 70236 93648 105354 124864 140472 158031 187296 210708 249728 280944 316062 374592 421416 499456 561888 632124 749184 842832 1123776 1264248 1498368 1685664 2247552 2528496 3371328 3806401 4495104 5056992 6742656 7612802 10113984 11419203 13485312 15225604 20227968 22838406 30451208 34257609 40455936 45676812 60902416 68515218 91353624 102772827 121804832 137030436 182707248 205545654 243609664 274060872 308318481 365414496 411091308 487219328 548121744 616636962 730828992 822182616 974438656 1096243488 1233273924 1461657984 1644365232 2192486976 2466547848 2923315968 3288730464 4384973952 4933095696 6577460928 8769947904 9866191392 13154921856 19732382784 26309843712 39464765568 78929531136