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10021373984 = 2519533071013
BaseRepresentation
bin10010101010101001…
…00000100000100000
3221212101222112201102
421111110200200200
5131010432431414
64334224453532
7503224162526
oct112524404040
927771875642
1010021373984
114282893666
121b3817a2a8
13c392620bb
146b0d28316
153d9bd0ede
hex255520820

10021373984 has 96 divisors (see below), whose sum is σ = 21249708480. Its totient is φ = 4637647872.

The previous prime is 10021373977. The next prime is 10021374017. The reversal of 10021373984 is 48937312001.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9892262 + ... + 9893274.

It is an arithmetic number, because the mean of its divisors is an integer number (221351130).

Almost surely, 210021373984 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 10021373984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624854240).

10021373984 is an abundant number, since it is smaller than the sum of its proper divisors (11228334496).

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

10021373984 is a wasteful number, since it uses less digits than its factorization.

10021373984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

Adding to 10021373984 its reverse (48937312001), we get a palindrome (58958685985).

The spelling of 10021373984 in words is "ten billion, twenty-one million, three hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 53 76 106 152 212 304 307 424 608 614 848 1007 1013 1228 1696 2014 2026 2456 4028 4052 4912 5833 8056 8104 9824 11666 16112 16208 16271 19247 23332 32224 32416 32542 38494 46664 53689 65084 76988 93328 107378 130168 153976 186656 214756 260336 307952 309149 310991 429512 520672 615904 618298 621982 859024 1020091 1236596 1243964 1718048 2040182 2473192 2487928 4080364 4946384 4975856 5908829 8160728 9892768 9951712 11817658 16321456 16482523 23635316 32642912 32965046 47270632 65930092 94541264 131860184 189082528 263720368 313167937 527440736 626335874 1252671748 2505343496 5010686992 10021373984