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18907442669136 = 2437311953192941
BaseRepresentation
bin1000100110010001110110…
…11001110110011001010000
32110221112102012002111121110
410103020323121312121100
54434234420310403021
6104113543110453320
73661006024651110
oct423107331663120
973845365074543
1018907442669136
11602a66851a57a
122154480364240
13a71c6c4426c8
144951a7421040
1522bc5c9e0476
hex11323b676650

18907442669136 has 160 divisors (see below), whose sum is σ = 57626252763136. Its totient is φ = 5227540416000.

The previous prime is 18907442669131. The next prime is 18907442669191. The reversal of 18907442669136 is 63196624470981.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18907442669131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203388426 + ... + 203481366.

Almost surely, 218907442669136 is an apocalyptic number.

18907442669136 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 18907442669136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28813126381568).

18907442669136 is an abundant number, since it is smaller than the sum of its proper divisors (38718810094000).

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

18907442669136 is a wasteful number, since it uses less digits than its factorization.

18907442669136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112521 (or 112515 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 18907442669136 in words is "eighteen trillion, nine hundred seven billion, four hundred forty-two million, six hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 19531 39062 58593 78124 92941 117186 136717 156248 185882 234372 273434 278823 312496 371764 410151 468744 546868 557646 605461 650587 743528 820302 937488 1093736 1115292 1210922 1301174 1487056 1640604 1816383 1951761 2187472 2230584 2421844 2602348 2881171 3281208 3632766 3903522 4238227 4461168 4843688 5204696 5762342 6562416 7265532 7807044 8476454 8643513 9687376 10409392 11524684 12714681 14531064 15614088 16952908 17287026 20168197 23049368 25429362 29062128 31228176 33905816 34574052 40336394 46098736 50858724 60504591 67811632 69148104 80672788 101717448 121009182 138296208 161345576 203434896 242018364 322691152 484036728 968073456 1815230671 3630461342 5445692013 7260922684 10891384026 12706614697 14521845368 21782768052 25413229394 29043690736 38119844091 43565536104 50826458788 56272150801 76239688182 87131072208 101652917576 112544301602 152479376364 168816452403 203305835152 225088603204 304958752728 337632904806 393905055607 450177206408 609917505456 675265809612 787810111214 900354412816 1181715166821 1350531619224 1575620222428 2363430333642 2701063238448 3151240444856 4726860667284 6302480889712 9453721334568 18907442669136