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5074612236100 = 2252112204792
BaseRepresentation
bin100100111011000011001…
…1101011010111101000100
3122222010110110012102210001
41021312012131122331010
51131120301213023400
614443124503411044
71032425423206231
oct111660635327504
918863413172701
105074612236100
111687149348900
1269b5b1453a84
132aa6c2c214b4
14137880b62788
158c007be0a6a
hex49d8675af44

5074612236100 has 81 divisors (see below), whose sum is σ = 12104589729981. Its totient is φ = 1845223432800.

The previous prime is 5074612236061. The next prime is 5074612236101. The reversal of 5074612236100 is 16322164705.

The square root of 5074612236100 is 2252690.

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

It can be written as a sum of positive squares in only one way, i.e., 1826860404996 + 3247751831104 = 1351614^2 + 1802152^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5074612236100.

It is not an unprimeable number, because it can be changed into a prime (5074612236101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247785661 + ... + 247806139.

Almost surely, 25074612236100 is an apocalyptic number.

5074612236100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5074612236100 is the 2252690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5074612236100

5074612236100 is an abundant number, since it is smaller than the sum of its proper divisors (7029977493881).

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

5074612236100 is an equidigital number, since it uses as much as digits as its factorization.

5074612236100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40994 (or 20497 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 5074612236100 in words is "five trillion, seventy-four billion, six hundred twelve million, two hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 20479 40958 81916 102395 204790 225269 409580 450538 511975 901076 1023950 1126345 2047900 2252690 2477959 4505380 4955918 5631725 9911836 11263450 12389795 22526900 24779590 49559180 61948975 123897950 247795900 419389441 838778882 1677557764 2096947205 4193894410 4613283851 8387788820 9226567702 10484736025 18453135404 20969472050 23066419255 41938944100 46132838510 50746122361 92265677020 101492244722 115332096275 202984489444 230664192550 253730611805 461328385100 507461223610 1014922447220 1268653059025 2537306118050 5074612236100