Search a number
-
+
58296863680 = 2651136745127
BaseRepresentation
bin110110010010110000…
…111000101111000000
312120110210211111221021
4312102300320233000
51423342444114210
642440424035224
74132436110456
oct662260705700
9176423744837
1058296863680
11227a6072590
12b36b602b14
135660953213
142b705d29d6
1517b2e7ebda
hexd92c38bc0

58296863680 has 112 divisors (see below), whose sum is σ = 151855358976. Its totient is φ = 21140628480.

The previous prime is 58296863663. The next prime is 58296863689. The reversal of 58296863680 is 8636869285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58296863689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269277 + ... + 1314403.

Almost surely, 258296863680 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 58296863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75927679488).

58296863680 is an abundant number, since it is smaller than the sum of its proper divisors (93558495296).

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

58296863680 is a wasteful number, since it uses less digits than its factorization.

58296863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45522 (or 45512 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 58296863680 in words is "fifty-eight billion, two hundred ninety-six million, eight hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 367 440 704 734 880 1468 1760 1835 2936 3520 3670 4037 5872 7340 8074 11744 14680 16148 20185 23488 29360 32296 40370 45127 58720 64592 80740 90254 117440 129184 161480 180508 225635 258368 322960 361016 451270 496397 645920 722032 902540 992794 1291840 1444064 1805080 1985588 2481985 2888128 3610160 3971176 4963970 7220320 7942352 9927940 14440640 15884704 16561609 19855880 31769408 33123218 39711760 66246436 79423520 82808045 132492872 158847040 165616090 182177699 264985744 331232180 364355398 529971488 662464360 728710796 910888495 1059942976 1324928720 1457421592 1821776990 2649857440 2914843184 3643553980 5299714880 5829686368 7287107960 11659372736 14574215920 29148431840 58296863680