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3998264188356 = 2238123432
BaseRepresentation
bin111010001011101011000…
…111011101110111000100
3112011020012220110100000000
4322023223013131313010
51011001421113011411
612300435513321300
7561602466565554
oct72135307356704
915136186410000
103998264188356
111301721999699
12546a82706230
1323005b2c0b59
14db7349b5164
156e00d8d0956
hex3a2eb1dddc4

3998264188356 has 81 divisors (see below), whose sum is σ = 10495760611791. Its totient is φ = 1332646752888.

The previous prime is 3998264188351. The next prime is 3998264188357. The reversal of 3998264188356 is 6538814628993.

It is a happy number.

The square root of 3998264188356 is 1999566.

It is a perfect power (a square), and thus also a powerful number.

3998264188356 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 264 + 1 + 8 + 8 + 356 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×39982641883562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3998264188351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323923521 + ... + 323935863.

Almost surely, 23998264188356 is an apocalyptic number.

3998264188356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3998264188356 is the 1999566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998264188356

3998264188356 is an abundant number, since it is smaller than the sum of its proper divisors (6497496423435).

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

3998264188356 is an frugal number, since it uses more digits than its factorization.

3998264188356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24714 (or 12348 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 3998264188356 in words is "three trillion, nine hundred ninety-eight billion, two hundred sixty-four million, one hundred eighty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 12343 13122 24686 26244 37029 49372 74058 111087 148116 222174 333261 444348 666522 999783 1333044 1999566 2999349 3999132 5998698 8998047 11997396 17996094 26994141 35992188 53988282 80982423 107976564 152349649 161964846 304699298 323929692 457048947 609398596 914097894 1371146841 1828195788 2742293682 4113440523 5484587364 8226881046 12340321569 16453762092 24680643138 37020964707 49361286276 74041929414 111062894121 148083858828 222125788242 333188682363 444251576484 666377364726 999566047089 1332754729452 1999132094178 3998264188356