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496507845391936 = 2674568432
BaseRepresentation
bin111000011100100100011110…
…1110000001011011001000000
32102002222200112102120212020121
41300321020331300023121000
51010034241031410020221
64515552315540550024
7206403336156520000
oct16071107560133100
92362880472525217
10496507845391936
11134225881877794
124782a6689b2314
1318407648205991
148a87172280000
153c604961d1a41
hex1c3923dc0b640

496507845391936 has 105 divisors (see below), whose sum is σ = 1149419210414411. Its totient is φ = 212785333143936.

The previous prime is 496507845391933. The next prime is 496507845391963. The reversal of 496507845391936 is 639193548705694.

The square root of 496507845391936 is 22282456.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (496507845391933) 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, 8734694331 + ... + 8734751173.

Almost surely, 2496507845391936 is an apocalyptic number.

496507845391936 is the 22282456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496507845391936

496507845391936 is an abundant number, since it is smaller than the sum of its proper divisors (652911365022475).

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

496507845391936 is an frugal number, since it uses more digits than its factorization.

496507845391936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113726 (or 56852 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 79.

The spelling of 496507845391936 in words is "four hundred ninety-six trillion, five hundred seven billion, eight hundred forty-five million, three hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2401 2744 3136 4802 5488 9604 10976 19208 21952 38416 56843 76832 113686 153664 227372 397901 454744 795802 909488 1591604 1818976 2785307 3183208 3637952 5570614 6366416 11141228 12732832 19497149 22282456 25465664 38994298 44564912 77988596 89129824 136480043 155977192 178259648 272960086 311954384 545920172 623908768 1091840344 1247817536 2183680688 3231126649 4367361376 6462253298 8734722752 12924506596 22617886543 25849013192 45235773086 51698026384 90471546172 103396052768 158325205801 180943092344 206792105536 316650411602 361886184688 633300823204 723772369376 1108276440607 1266601646408 1447544738752 2216552881214 2533203292816 4433105762428 5066406585632 7757935084249 8866211524856 10132813171264 15515870168498 17732423049712 31031740336996 35464846099424 62063480673992 70929692198848 124126961347984 248253922695968 496507845391936