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4957817150976 = 29341379207719
BaseRepresentation
bin100100000100101010011…
…1011100001111000000000
3122112221222210122100222120
41020021110323201320000
51122212102142312401
614313331215404240
71021122221314044
oct110112473417000
918487883570876
104957817150976
111641664593768
12680a36b23680
1329c69ba06a81
14131d61324024
1588e6e2a9836
hex48254ee1e00

4957817150976 has 160 divisors (see below), whose sum is σ = 13565844230400. Its totient is φ = 1608036433920.

The previous prime is 4957817150969. The next prime is 4957817150977. The reversal of 4957817150976 is 6790517187594.

It is a self number, because there is not a number n which added to its sum of digits gives 4957817150976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957817150977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23764045 + ... + 23971763.

It is an arithmetic number, because the mean of its divisors is an integer number (84786526440).

Almost surely, 24957817150976 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 4957817150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782922115200).

4957817150976 is an abundant number, since it is smaller than the sum of its proper divisors (8608027079424).

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

4957817150976 is a wasteful number, since it uses less digits than its factorization.

4957817150976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208160 (or 208144 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 69.

The spelling of 4957817150976 in words is "four trillion, nine hundred fifty-seven billion, eight hundred seventeen million, one hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 379 384 492 512 656 758 768 984 1137 1312 1516 1536 1968 2274 2624 3032 3936 4548 5248 6064 7872 9096 10496 12128 15539 15744 18192 20992 24256 31078 31488 36384 46617 48512 62156 62976 72768 93234 97024 124312 145536 186468 194048 207719 248624 291072 372936 415438 497248 582144 623157 745872 830876 994496 1246314 1491744 1661752 1988992 2492628 2983488 3323504 3977984 4985256 5966976 6647008 7955968 8516479 9970512 11933952 13294016 17032958 19941024 23867904 25549437 26588032 34065916 39882048 51098874 53176064 68131832 78725501 79764096 102197748 106352128 136263664 157451002 159528192 204395496 236176503 272527328 314902004 319056384 408790992 472353006 545054656 629804008 817581984 944706012 1090109312 1259608016 1635163968 1889412024 2180218624 2519216032 3227745541 3270327936 3778824048 4360437248 5038432064 6455491082 6540655872 7557648096 9683236623 10076864128 12910982164 13081311744 15115296192 19366473246 20153728256 25821964328 30230592384 38732946492 40307456512 51643928656 60461184768 77465892984 103287857312 120922369536 154931785968 206575714624 309863571936 413151429248 619727143872 826302858496 1239454287744 1652605716992 2478908575488 4957817150976