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83915273238784 = 28132440412
BaseRepresentation
bin10011000101001000001100…
…000011010111100100000000
3102000010012222200012022010221
4103011020030003113210000
541444331434422120114
6454250051102032424
723450451461415061
oct2305101403274400
9360105880168127
1083915273238784
11248132a4092aa9
1294b3413278714
1337a923a485300
1416a17414a2568
159a7c67493524
hex4c520c0d7900

83915273238784 has 81 divisors (see below), whose sum is σ = 181382838598899. Its totient is φ = 38729246699520.

The previous prime is 83915273238721. The next prime is 83915273238799. The reversal of 83915273238784 is 48783237251938.

The square root of 83915273238784 is 9160528.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9129583110400 + 74785690128384 = 3021520^2 + 8647872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1905367804 + ... + 1905411844.

Almost surely, 283915273238784 is an apocalyptic number.

83915273238784 is the 9160528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83915273238784

83915273238784 is an abundant number, since it is smaller than the sum of its proper divisors (97467565360115).

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

83915273238784 is an frugal number, since it uses more digits than its factorization.

83915273238784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88124 (or 44056 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 70.

The spelling of 83915273238784 in words is "eighty-three trillion, nine hundred fifteen billion, two hundred seventy-three million, two hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264 44041 88082 176164 352328 572533 704656 1145066 1409312 2290132 2818624 4580264 5637248 7442929 9160528 11274496 14885858 18321056 29771716 36642112 59543432 73284224 119086864 146568448 238173728 476347456 952694912 1905389824 1939609681 3879219362 7758438724 15516877448 25214925853 31033754896 50429851706 62067509792 100859703412 124135019584 201719406824 248270039168 327794036089 403438813648 496540078336 655588072178 806877627296 1311176144356 1613755254592 2622352288712 3227510509184 5244704577424 6455021018368 10489409154848 20978818309696 41957636619392 83915273238784