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5102053432 = 23719337359
BaseRepresentation
bin1001100000001101…
…10010100000111000
3111011120102011112221
410300012302200320
540422111202212
62202134413424
7240301511230
oct46006624070
914146364487
105102053432
112188a81293
12ba4801274
13634040c38
14365868cc0
151ecdb4807
hex1301b2838

5102053432 has 128 divisors (see below), whose sum is σ = 11885184000. Its totient is φ = 2009909376.

The previous prime is 5102053393. The next prime is 5102053457. The reversal of 5102053432 is 2343502015.

It is a junction number, because it is equal to n+sod(n) for n = 5102053397 and 5102053406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14211669 + ... + 14212027.

It is an arithmetic number, because the mean of its divisors is an integer number (92853000).

Almost surely, 25102053432 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 5102053432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942592000).

5102053432 is an abundant number, since it is smaller than the sum of its proper divisors (6783130568).

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

5102053432 is a wasteful number, since it uses less digits than its factorization.

5102053432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5102053432 is about 71428.6597382311. The cubic root of 5102053432 is about 1721.5316076219.

Adding to 5102053432 its reverse (2343502015), we get a palindrome (7445555447).

The spelling of 5102053432 in words is "five billion, one hundred two million, fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 259 266 296 359 361 518 532 703 718 722 1036 1064 1406 1436 1444 2072 2513 2527 2812 2872 2888 4921 5026 5054 5624 6821 6859 9842 10052 10108 13283 13357 13642 13718 19684 20104 20216 26566 26714 27284 27436 39368 47747 48013 53132 53428 54568 54872 92981 93499 95494 96026 106264 106856 129599 185962 186998 190988 192052 252377 253783 259198 371924 373996 381976 384104 504754 507566 518396 743848 747992 907193 1009508 1015132 1036792 1766639 1776481 1814386 2019016 2030264 2462381 3533278 3552962 3628772 4795163 4924762 7066556 7105924 7257544 9590326 9849524 14133112 14211848 17236667 19180652 19699048 33566141 34473334 38361304 67132282 68946668 91108097 134264564 137893336 182216194 268529128 364432388 637756679 728864776 1275513358 2551026716 5102053432