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994905666247680 = 2103251123161127743
BaseRepresentation
bin1110001000110111001000011…
…0110100100101110000000000
311211110200001102111110000202100
43202031302012310211300000
52020401013301024411210
613443553204155150400
7416363363611613355
oct34215620664456000
94743601374400670
10994905666247680
1126900a13a506800
1293703472745400
133391b281364a65
141379799684062c
157a04ba604d5c0
hex388dc86d25c00

994905666247680 has 3168 divisors, whose sum is σ = 4012256223166464. Its totient is φ = 227468279808000.

The previous prime is 994905666247657. The next prime is 994905666247693. The reversal of 994905666247680 is 86742666509499.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×9949056662476802 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 994905666247680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1339038581389 + ... + 1339038582131.

Almost surely, 2994905666247680 is an apocalyptic number.

994905666247680 is a gapful number since it is divisible by the number (90) 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 994905666247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006128111583232).

994905666247680 is an abundant number, since it is smaller than the sum of its proper divisors (3017350556918784).

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

994905666247680 is a wasteful number, since it uses less digits than its factorization.

994905666247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 994905666247680 in words is "nine hundred ninety-four trillion, nine hundred five billion, six hundred sixty-six million, two hundred forty-seven thousand, six hundred eighty".