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2513089332 = 2232136780147
BaseRepresentation
bin1001010111001010…
…1011001100110100
320111010211011110200
42111302223030310
520121322324312
61053212120500
7116163623025
oct22562531464
96433734420
102513089332
11107a634236
125a1766130
13310863210
1419ba9ac4c
15ea9640dc
hex95cab334

2513089332 has 72 divisors (see below), whose sum is σ = 6943381536. Its totient is φ = 761707584.

The previous prime is 2513089331. The next prime is 2513089333. The reversal of 2513089332 is 2339803152.

2513089332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2513089331) and next prime (2513089333).

It is a super-2 number, since 2×25130893322 = 12631235981224412448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513089331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8718 + ... + 71429.

Almost surely, 22513089332 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 2513089332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471690768).

2513089332 is an abundant number, since it is smaller than the sum of its proper divisors (4430292204).

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

2513089332 is a wasteful number, since it uses less digits than its factorization.

2513089332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80237 (or 80232 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2513089332 is about 50130.7224364461. The cubic root of 2513089332 is about 1359.5733472796.

The spelling of 2513089332 in words is "two billion, five hundred thirteen million, eighty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7839 10452 15678 31356 80147 160294 240441 320588 480882 721323 961764 1041911 1442646 2083822 2885292 3125733 4167644 5369849 6251466 9377199 10739698 12502932 16109547 18754398 21479396 32219094 37508796 48328641 64438188 69808037 96657282 139616074 193314564 209424111 279232148 418848222 628272333 837696444 1256544666 2513089332