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1111042664016 = 2433110131723321
BaseRepresentation
bin10000001010101111010…
…011011010011001010000
310221012210110210012222220
4100022233103122121100
5121200403410222031
62210223404101040
7143161446552165
oct20125723323120
93835713705886
101111042664016
113992106899aa
1215b3b1b34780
1380a037bcbac
143babbcc206c
151dd7a16b596
hex102af4da650

1111042664016 has 160 divisors (see below), whose sum is σ = 3001682451456. Its totient is φ = 353717760000.

The previous prime is 1111042663981. The next prime is 1111042664021. The reversal of 1111042664016 is 6104662401111.

It is a super-2 number, since 2×11110426640162 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47629636 + ... + 47652956.

Almost surely, 21111042664016 is an apocalyptic number.

1111042664016 is a gapful number since it is divisible by the number (16) 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 1111042664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500841225728).

1111042664016 is an abundant number, since it is smaller than the sum of its proper divisors (1890639787440).

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

1111042664016 is a wasteful number, since it uses less digits than its factorization.

1111042664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23781 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1111042664016 in words is "one trillion, one hundred eleven billion, forty-two million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 248 303 317 372 404 496 606 634 744 808 951 1212 1268 1488 1616 1902 2424 2536 3131 3804 4848 5072 6262 7608 9393 9827 12524 15216 18786 19654 23321 25048 29481 32017 37572 39308 46642 50096 58962 64034 69963 75144 78616 93284 96051 117924 128068 139926 150288 157232 186568 192102 235848 256136 279852 373136 384204 471696 512272 559704 722951 768408 992527 1119408 1445902 1536816 1985054 2168853 2355421 2891804 2977581 3970108 4337706 4710842 5783608 5955162 7066263 7392757 7940216 8675412 9421684 11567216 11910324 14132526 14785514 15880432 17350824 18843368 22178271 23820648 28265052 29571028 34701648 37686736 44356542 47641296 56530104 59142056 73018051 88713084 113060208 118284112 146036102 177426168 219054153 229175467 292072204 354852336 438108306 458350934 584144408 687526401 746668457 876216612 916701868 1168288816 1375052802 1493336914 1752433224 1833403736 2240005371 2750105604 2986673828 3504866448 3666807472 4480010742 5500211208 5973347656 8960021484 11000422416 11946695312 17920042968 23146722167 35840085936 46293444334 69440166501 92586888668 138880333002 185173777336 277760666004 370347554672 555521332008 1111042664016