Search a number
-
+
35450552004 = 22372323832083
BaseRepresentation
bin100001000001000001…
…000111111011000100
310101111121110122002120
4201001001013323010
51040100320131004
624141420205540
72363332502010
oct410101077304
9111447418076
1035450552004
1114041a0446a
126a543998b0
13345c6849ba
141a042ad540
15dc73cc3d9
hex841047ec4

35450552004 has 144 divisors (see below), whose sum is σ = 99129311232. Its totient is φ = 9658414656.

The previous prime is 35450551951. The next prime is 35450552017. The reversal of 35450552004 is 40025505453.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17017947 + ... + 17020029.

Almost surely, 235450552004 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 35450552004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49564655616).

35450552004 is an abundant number, since it is smaller than the sum of its proper divisors (63678759228).

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

35450552004 is a wasteful number, since it uses less digits than its factorization.

35450552004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The spelling of 35450552004 in words is "thirty-five billion, four hundred fifty million, five hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 383 483 529 644 766 966 1058 1149 1532 1587 1932 2083 2116 2298 2681 3174 3703 4166 4596 5362 6249 6348 7406 8043 8332 8809 10724 11109 12498 14581 14812 16086 17618 22218 24996 26427 29162 32172 35236 43743 44436 47909 52854 58324 61663 87486 95818 105708 123326 143727 174972 184989 191636 202607 246652 287454 335363 369978 405214 574908 607821 670726 739956 797789 810428 1006089 1101907 1215642 1341452 1418249 1595578 2012178 2203814 2393367 2431284 2836498 3191156 3305721 4024356 4254747 4407628 4786734 5584523 5672996 6611442 7713349 8509494 9573468 11169046 13222884 15426698 16753569 17018988 18349147 22338092 23140047 30853396 33507138 36698294 46280094 55047441 67014276 73396588 92560188 110094882 128444029 220189764 256888058 385332087 422030381 513776116 770664174 844060762 1266091143 1541328348 1688121524 2532182286 2954212667 5064364572 5908425334 8862638001 11816850668 17725276002 35450552004