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32134515330 = 2354353895281
BaseRepresentation
bin11101111011010111…
…011100101010000010
310001221111202111221110
4131323113130222002
51011302413442310
622432402104150
72215215605421
oct357327345202
9101844674843
1032134515330
11126a0106a95
12628994b056
133051679218
1417abb1b2b8
15c8120cd20
hex77b5dca82

32134515330 has 128 divisors (see below), whose sum is σ = 81324207360. Its totient is φ = 8118190080.

The previous prime is 32134515323. The next prime is 32134515337. The reversal of 32134515330 is 3351543123.

It is an interprime number because it is at equal distance from previous prime (32134515323) and next prime (32134515337).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32134515337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6082290 + ... + 6087570.

It is an arithmetic number, because the mean of its divisors is an integer number (635345370).

Almost surely, 232134515330 is an apocalyptic number.

32134515330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32134515330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40662103680).

32134515330 is an abundant number, since it is smaller than the sum of its proper divisors (49189692030).

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

32134515330 is a wasteful number, since it uses less digits than its factorization.

32134515330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476.

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 32134515330 in words is "thirty-two billion, one hundred thirty-four million, five hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 53 86 89 106 129 159 178 215 258 265 267 318 430 445 530 534 645 795 890 1290 1335 1590 2279 2670 3827 4558 4717 5281 6837 7654 9434 10562 11395 11481 13674 14151 15843 19135 22790 22962 23585 26405 28302 31686 34185 38270 47170 52810 57405 68370 70755 79215 114810 141510 158430 202831 227083 279893 405662 454166 470009 559786 608493 681249 839679 940018 1014155 1135415 1216986 1362498 1399465 1410027 1679358 2028310 2270830 2350045 2798930 2820054 3042465 3406245 4198395 4700090 6084930 6812490 7050135 8396790 12035399 14100270 20210387 24070798 24910477 36106197 40420774 49820954 60176995 60631161 72212394 74731431 101051935 120353990 121262322 124552385 149462862 180530985 202103870 249104770 303155805 361061970 373657155 606311610 747314310 1071150511 2142301022 3213451533 5355752555 6426903066 10711505110 16067257665 32134515330