Search a number
-
+
10022550048 = 2532712374019
BaseRepresentation
bin10010101010110001…
…11111101000100000
3221212111012021222100
421111120333220200
5131011233100143
64334310010400
7503240161350
oct112530775040
927774167870
1010022550048
114283517215
121b38646a00
13c395844b4
146b1152b60
153d9d646d3
hex25563fa20

10022550048 has 144 divisors (see below), whose sum is σ = 32607731520. Its totient is φ = 2860558848.

The previous prime is 10022549981. The next prime is 10022550049. The reversal of 10022550048 is 84005522001.

It is a happy number.

10022550048 is a `hidden beast` number, since 100 + 2 + 2 + 550 + 0 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10022550049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491783 + ... + 2495801.

It is an arithmetic number, because the mean of its divisors is an integer number (226442580).

Almost surely, 210022550048 is an apocalyptic number.

10022550048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022550048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303865760).

10022550048 is an abundant number, since it is smaller than the sum of its proper divisors (22585181472).

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

10022550048 is a wasteful number, since it uses less digits than its factorization.

10022550048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10022550048 in words is "ten billion, twenty-two million, five hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1237 2016 2474 3711 4019 4948 7422 8038 8659 9896 11133 12057 14844 16076 17318 19792 22266 24114 25977 28133 29688 32152 34636 36171 39584 44532 48228 51954 56266 59376 64304 69272 72342 77931 84399 89064 96456 103908 112532 118752 128608 138544 144684 155862 168798 178128 192912 207816 225064 253197 277088 289368 311724 337596 356256 385824 415632 450128 506394 578736 623448 675192 831264 900256 1012788 1157472 1246896 1350384 2025576 2493792 2700768 4051152 4971503 8102304 9943006 14914509 19886012 29829018 34800521 39772024 44743527 59658036 69601042 79544048 89487054 104401563 119316072 139202084 159088096 178974108 208803126 238632144 278404168 313204689 357948216 417606252 477264288 556808336 626409378 715896432 835212504 1113616672 1252818756 1431792864 1670425008 2505637512 3340850016 5011275024 10022550048