Search a number
-
+
234537407552 = 2671978233229
BaseRepresentation
bin1101101001101110000…
…1001101010001000000
3211102101022111202220002
43122123201031101000
512320313034020202
6255424530335132
722642025033210
oct3323341152100
9742338452802
10234537407552
1190515285728
123955612a4a8
13191697575c6
14b4ccdb2240
15617a5ca302
hex369b84d440

234537407552 has 112 divisors (see below), whose sum is σ = 535412655360. Its totient is φ = 99853350912.

The previous prime is 234537407521. The next prime is 234537407557. The reversal of 234537407552 is 255704735432.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 234537407497 and 234537407506.

It is not an unprimeable number, because it can be changed into a prime (234537407557) 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, 72633074 + ... + 72636302.

Almost surely, 2234537407552 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 234537407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267706327680).

234537407552 is an abundant number, since it is smaller than the sum of its proper divisors (300875247808).

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

234537407552 is a wasteful number, since it uses less digits than its factorization.

234537407552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 47.

The spelling of 234537407552 in words is "two hundred thirty-four billion, five hundred thirty-seven million, four hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 823 1379 1576 1646 2758 3152 3229 3292 5516 5761 6304 6458 6584 11032 11522 12608 12916 13168 22064 22603 23044 25832 26336 44128 45206 46088 51664 52672 88256 90412 92176 103328 162131 180824 184352 206656 324262 361648 368704 636113 648524 723296 1134917 1272226 1297048 1446592 2269834 2544452 2594096 2657467 4452791 4539668 5088904 5188192 5314934 8905582 9079336 10177808 10376384 10629868 17811164 18158672 18602269 20355616 21259736 35622328 36317344 37204538 40711232 42519472 71244656 72634688 74409076 85038944 142489312 148818152 170077888 284978624 297636304 523520999 595272608 1047041998 1190545216 2094083996 3664646993 4188167992 7329293986 8376335984 14658587972 16752671968 29317175944 33505343936 58634351888 117268703776 234537407552