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76211947344 = 243132341129517
BaseRepresentation
bin100011011111010010…
…1100000011101010000
321021201100020001122110
41012332211200131100
52222040224303334
655002234305320
75335413602211
oct1067645403520
9237640201573
1076211947344
112a359726055
121292b288240
1372573c1740
14398da37408
151eb0b62ae9
hex11be960750

76211947344 has 160 divisors (see below), whose sum is σ = 226641993984. Its totient is φ = 21883023360.

The previous prime is 76211947327. The next prime is 76211947379. The reversal of 76211947344 is 44374911267.

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

It is a junction number, because it is equal to n+sod(n) for n = 76211947293 and 76211947302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523674 + ... + 653190.

Almost surely, 276211947344 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 76211947344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113320996992).

76211947344 is an abundant number, since it is smaller than the sum of its proper divisors (150430046640).

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

76211947344 is a wasteful number, since it uses less digits than its factorization.

76211947344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129605 (or 129599 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 76211947344 in words is "seventy-six billion, two hundred eleven million, nine hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 41 46 48 52 69 78 82 92 104 123 138 156 164 184 208 246 276 299 312 328 368 492 533 552 598 624 656 897 943 984 1066 1104 1196 1599 1794 1886 1968 2132 2392 2829 3198 3588 3772 4264 4784 5658 6396 7176 7544 8528 11316 12259 12792 14352 15088 22632 24518 25584 36777 45264 49036 73554 98072 129517 147108 196144 259034 294216 388551 518068 588432 777102 1036136 1554204 1683721 2072272 2978891 3108408 3367442 5051163 5310197 5957782 6216816 6734884 8936673 10102326 10620394 11915564 13469768 15930591 17873346 20204652 21240788 23831128 26939536 31861182 35746692 38725583 40409304 42481576 47662256 63722364 69032561 71493384 77451166 80818608 84963152 116176749 122134531 127444728 138065122 142986768 154902332 207097683 232353498 244269062 254889456 276130244 309804664 366403593 414195366 464706996 488538124 552260488 619609328 732807186 828390732 929413992 977076248 1104520976 1465614372 1587748903 1656781464 1858827984 1954152496 2931228744 3175497806 3313562928 4763246709 5862457488 6350995612 9526493418 12701991224 19052986836 25403982448 38105973672 76211947344