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4954849743360 = 293511193086903
BaseRepresentation
bin100100000011010010000…
…0011110001001000000000
3122112200022222221102222210
41020012210003301020000
51122140013013241420
614312120533502120
71020655536624636
oct110064403611000
918480288842883
104954849743360
111640381564480
126803491a1940
1329c317cc448a
14131b5d1a3356
1588d48a029e0
hex481a40f1200

4954849743360 has 320 divisors, whose sum is σ = 18189520081920. Its totient is φ = 1137955553280.

The previous prime is 4954849743301. The next prime is 4954849743367. The reversal of 4954849743360 is 633479484594.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4954849743291 and 4954849743300.

It is not an unprimeable number, because it can be changed into a prime (4954849743367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61669 + ... + 3148571.

It is an arithmetic number, because the mean of its divisors is an integer number (56842250256).

Almost surely, 24954849743360 is an apocalyptic number.

4954849743360 is a gapful number since it is divisible by the number (40) 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 4954849743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094760040960).

4954849743360 is an abundant number, since it is smaller than the sum of its proper divisors (13234670338560).

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

4954849743360 is a wasteful number, since it uses less digits than its factorization.

4954849743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086959 (or 3086943 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 66.

The spelling of 4954849743360 in words is "four trillion, nine hundred fifty-four billion, eight hundred forty-nine million, seven hundred forty-three thousand, three hundred sixty".