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3998181600216 = 233337500272973
BaseRepresentation
bin111010001011100110001…
…100011010101111011000
3112011020000011001102101000
4322023212030122233120
51011001233442201331
612300423403225000
7561600444603036
oct72134614325730
915136004042330
103998181600216
11130168a30aa31
12546a5ab18160
1323004716572b
14db727a37556
156e00651a0e6
hex3a2e631abd8

3998181600216 has 64 divisors (see below), whose sum is σ = 11406223807200. Its totient is φ = 1296707543424.

The previous prime is 3998181600211. The next prime is 3998181600223. The reversal of 3998181600216 is 6120061818993.

3998181600216 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 1 + 8 + 1 + 600 + 21 + 6 = 666.

It is a super-2 number, since 2×39981816002162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998181600211) 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, 250128495 + ... + 250144478.

Almost surely, 23998181600216 is an apocalyptic number.

3998181600216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3998181600216 is an abundant number, since it is smaller than the sum of its proper divisors (7408042206984).

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

3998181600216 is a wasteful number, since it uses less digits than its factorization.

3998181600216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500273025 (or 500273015 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 3998181600216 in words is "three trillion, nine hundred ninety-eight billion, one hundred eighty-one million, six hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 500272973 1000545946 1500818919 2001091892 3001637838 4002183784 4502456757 6003275676 9004913514 12006551352 13507370271 18009827028 18510100001 27014740542 36019654056 37020200002 54029481084 55530300003 74040400004 108058962168 111060600006 148080800008 166590900009 222121200012 333181800018 444242400024 499772700027 666363600036 999545400054 1332727200072 1999090800108 3998181600216