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76941145072 = 2411289601743
BaseRepresentation
bin100011110101000001…
…1001011001111110000
321100121011100010212201
41013222003023033300
52230033413120242
655202443432544
75362446641131
oct1075203131760
9240534303781
1076941145072
112a6a32a8100
1212ab3525754
1373424b489c
143a1c811c88
152004ba14b7
hex11ea0cb3f0

76941145072 has 120 divisors (see below), whose sum is σ = 166197800160. Its totient is φ = 34476288000.

The previous prime is 76941145063. The next prime is 76941145081. The reversal of 76941145072 is 27054114967.

It is an interprime number because it is at equal distance from previous prime (76941145063) and next prime (76941145081).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103554333 + ... + 103555075.

It is an arithmetic number, because the mean of its divisors is an integer number (1384981668).

Almost surely, 276941145072 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 76941145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83098900080).

76941145072 is an abundant number, since it is smaller than the sum of its proper divisors (89256655088).

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

76941145072 is a wasteful number, since it uses less digits than its factorization.

76941145072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 76941145072 in words is "seventy-six billion, nine hundred forty-one million, one hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 89 121 176 178 242 356 484 601 712 743 968 979 1202 1424 1486 1936 1958 2404 2972 3916 4808 5944 6611 7832 8173 9616 10769 11888 13222 15664 16346 21538 26444 32692 43076 52888 53489 65384 66127 72721 86152 89903 105776 106978 130768 132254 145442 172304 179806 213956 264508 290884 359612 427912 446543 529016 581768 588379 719224 727397 855824 893086 1058032 1163536 1176758 1438448 1454794 1786172 2353516 2909588 3572344 4707032 4911973 5819176 6472169 7144688 8001367 9414064 9823946 11638352 12944338 16002734 19647892 25888676 32005468 39295784 39742327 51777352 54031703 64010936 78591568 79484654 103554704 108063406 128021872 158969308 216126812 317938616 432253624 437165597 635877232 864507248 874331194 1748662388 3497324776 4808821567 6994649552 9617643134 19235286268 38470572536 76941145072