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2274063197664 = 2531731263277617
BaseRepresentation
bin100001000101111000101…
…110101010010111100000
322001101202101002210200110
4201011320232222113200
5244224240134311124
64500405030251320
7323203256151036
oct41057056522740
98041671083613
102274063197664
117a7474432655
1230888b1b6b40
1313659ba48b5b
147c0cb06c556
153e24861d029
hex21178baa5e0

2274063197664 has 384 divisors, whose sum is σ = 6583551270912. Its totient is φ = 684198789120.

The previous prime is 2274063197641. The next prime is 2274063197687. The reversal of 2274063197664 is 4667913604722.

It is an interprime number because it is at equal distance from previous prime (2274063197641) and next prime (2274063197687).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3685677484 + ... + 3685678100.

It is an arithmetic number, because the mean of its divisors is an integer number (17144664768).

Almost surely, 22274063197664 is an apocalyptic number.

2274063197664 is a gapful number since it is divisible by the number (24) 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 2274063197664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291775635456).

2274063197664 is an abundant number, since it is smaller than the sum of its proper divisors (4309488073248).

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

2274063197664 is a wasteful number, since it uses less digits than its factorization.

2274063197664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 2274063197664 in words is "two trillion, two hundred seventy-four billion, sixty-three million, one hundred ninety-seven thousand, six hundred sixty-four".