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34152625052 = 227213103179727
BaseRepresentation
bin11111110011101001…
…111011001110011100
310021011011012010000222
4133303221323032130
51024421033000202
623404533140512
72316222344300
oct376351731634
9107134163028
1034152625052
11135362a2767
12675178a738
1332b37c44a0
14191db6bd00
15d4d49b4a2
hex7f3a7b39c

34152625052 has 144 divisors (see below), whose sum is σ = 76126901760. Its totient is φ = 13286706048.

The previous prime is 34152625051. The next prime is 34152625057. The reversal of 34152625052 is 25052625143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34152625051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46977113 + ... + 46977839.

It is an arithmetic number, because the mean of its divisors is an integer number (528659040).

Almost surely, 234152625052 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 34152625052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38063450880).

34152625052 is an abundant number, since it is smaller than the sum of its proper divisors (41974276708).

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

34152625052 is a wasteful number, since it uses less digits than its factorization.

34152625052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Subtracting from 34152625052 its reverse (25052625143), we obtain a palindrome (9099999909).

The spelling of 34152625052 in words is "thirty-four billion, one hundred fifty-two million, six hundred twenty-five thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 103 179 182 196 206 358 364 412 637 716 721 727 1253 1274 1339 1442 1454 2327 2506 2548 2678 2884 2908 4654 5012 5047 5089 5356 8771 9308 9373 9451 10094 10178 16289 17542 18437 18746 18902 20188 20356 32578 35084 35623 36874 37492 37804 65156 65611 66157 71246 73748 74881 114023 129059 130133 131222 132314 142492 149762 228046 239681 258118 260266 262444 264628 299524 456092 463099 479362 516236 520532 524167 903413 910931 926198 958724 973453 1048334 1677767 1691729 1806826 1821862 1852396 1946906 2096668 3355534 3383458 3613652 3643724 3669169 3893812 6376517 6711068 6766916 6814171 7338338 11744369 11842103 12753034 13403699 13628342 14676676 23488738 23684206 25506068 26807398 27256684 46977476 47368412 47699197 53614796 82894721 93825893 95398394 165789442 174248087 187651786 190796788 331578884 348496174 375303572 656781251 696992348 1219736609 1313562502 2439473218 2627125004 4878946436 8538156263 17076312526 34152625052