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4011220992 = 2133179601
BaseRepresentation
bin1110111100010110…
…0110000000000000
3101100112211010202110
43233011212000000
531203333032432
61502010215320
7201254546562
oct35705460000
911315733673
104011220992
111779258779
1293b424540
134bc04cc5c
142a0a35332
1518723edcc
hexef166000

4011220992 has 112 divisors (see below), whose sum is σ = 11326288752. Its totient is φ = 1258291200.

The previous prime is 4011220991. The next prime is 4011221017. The reversal of 4011220992 is 2990221104.

It is a happy number.

It is a super-2 number, since 2×40112209922 = 32179787693322928128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011220991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412992 + ... + 422592.

Almost surely, 24011220992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663144376).

4011220992 is an abundant number, since it is smaller than the sum of its proper divisors (7315067760).

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

4011220992 is an equidigital number, since it uses as much as digits as its factorization.

4011220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 4011220992 is about 63334.2008080942. The cubic root of 4011220992 is about 1588.8840173450.

The spelling of 4011220992 in words is "four billion, eleven million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 9601 12288 13056 17408 19202 24576 26112 28803 34816 38404 52224 57606 69632 76808 104448 115212 139264 153616 163217 208896 230424 307232 326434 417792 460848 489651 614464 652868 921696 979302 1228928 1305736 1843392 1958604 2457856 2611472 3686784 3917208 4915712 5222944 7373568 7834416 9831424 10445888 14747136 15668832 19662848 20891776 29494272 31337664 39325696 41783552 58988544 62675328 78651392 83567104 117977088 125350656 167134208 235954176 250701312 334268416 501402624 668536832 1002805248 1337073664 2005610496 4011220992