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2553215004 = 2232235373797
BaseRepresentation
bin1001100000101110…
…1111100000011100
320120221022202112200
42120023233200130
520212110340004
61101204131500
7120161653344
oct23013574034
96527282480
102553215004
1110a025024a
125b3096b90
13318c72012
141a3143d24
15ee23d239
hex982ef81c

2553215004 has 144 divisors (see below), whose sum is σ = 6964356672. Its totient is φ = 786779136.

The previous prime is 2553214997. The next prime is 2553215039. The reversal of 2553215004 is 4005123552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203134 + ... + 3203930.

It is an arithmetic number, because the mean of its divisors is an integer number (48363588).

Almost surely, 22553215004 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 2553215004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482178336).

2553215004 is an abundant number, since it is smaller than the sum of its proper divisors (4411141668).

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

2553215004 is a wasteful number, since it uses less digits than its factorization.

2553215004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2553215004 is about 50529.3479475047. The cubic root of 2553215004 is about 1366.7711276357.

Adding to 2553215004 its reverse (4005123552), we get a palindrome (6558338556).

The spelling of 2553215004 in words is "two billion, five hundred fifty-three million, two hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 73 92 106 138 146 159 207 212 219 276 292 318 414 438 477 636 657 797 828 876 954 1219 1314 1594 1679 1908 2391 2438 2628 3188 3358 3657 3869 4782 4876 5037 6716 7173 7314 7738 9564 10074 10971 11607 14346 14628 15111 15476 18331 20148 21942 23214 28692 30222 34821 36662 42241 43884 46428 54993 58181 60444 69642 73324 84482 88987 109986 116362 126723 139284 164979 168964 174543 177974 219972 232724 253446 266961 329958 349086 355948 380169 506892 523629 533922 659916 698172 760338 800883 971543 1047258 1067844 1338163 1520676 1601766 1943086 2094516 2676326 2914629 3083593 3203532 3886172 4014489 5352652 5829258 6167186 8028978 8743887 9250779 11658516 12043467 12334372 16057956 17487774 18501558 24086934 27752337 34975548 37003116 48173868 55504674 70922639 111009348 141845278 212767917 283690556 425535834 638303751 851071668 1276607502 2553215004