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25080079968 = 2532534433709
BaseRepresentation
bin10111010110111000…
…111010011001100000
32101201212121001212200
4113112320322121200
5402331000024333
615304401053200
71545336106446
oct272670723140
971655531780
1025080079968
11a700062319
124a3b327200
132498cc4108
1412dcc70b96
159bbc3ec13
hex5d6e3a660

25080079968 has 144 divisors (see below), whose sum is σ = 72850836240. Its totient is φ = 8181568512.

The previous prime is 25080079943. The next prime is 25080079987. The reversal of 25080079968 is 86997008052.

It is a happy number.

25080079968 is a `hidden beast` number, since 2 + 508 + 0 + 0 + 79 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×250800799682 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6760098 + ... + 6763806.

It is an arithmetic number, because the mean of its divisors is an integer number (505908585).

Almost surely, 225080079968 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 25080079968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36425418120).

25080079968 is an abundant number, since it is smaller than the sum of its proper divisors (47770756272).

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

25080079968 is a wasteful number, since it uses less digits than its factorization.

25080079968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 25080079968 in words is "twenty-five billion, eighty million, seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 443 477 636 848 886 954 1272 1329 1696 1772 1908 2544 2658 3544 3709 3816 3987 5088 5316 7088 7418 7632 7974 10632 11127 14176 14836 15264 15948 21264 22254 23479 29672 31896 33381 42528 44508 46958 59344 63792 66762 70437 89016 93916 118688 127584 133524 140874 178032 187832 196577 211311 267048 281748 356064 375664 393154 422622 534096 563496 589731 751328 786308 845244 1068192 1126992 1179462 1572616 1643087 1690488 1769193 2253984 2358924 3145232 3286174 3380976 3538386 4717848 4929261 6290464 6572348 6761952 7076772 9435696 9858522 13144696 14153544 14787783 18871392 19717044 26289392 28307088 29575566 39434088 52578784 56614176 59151132 78868176 87083611 118302264 157736352 174167222 236604528 261250833 348334444 473209056 522501666 696668888 783752499 1045003332 1393337776 1567504998 2090006664 2786675552 3135009996 4180013328 6270019992 8360026656 12540039984 25080079968