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19002038112 = 2532791515531
BaseRepresentation
bin10001101100100111…
…000001011101100000
31211001021200112220100
4101230213001131200
5302404010204422
612421315342400
71241613442011
oct215447013540
954037615810
1019002038112
118071178532
1238238b1a00
131a3aa02345
14cc3949008
1576333d7ac
hex46c9c1760

19002038112 has 144 divisors (see below), whose sum is σ = 55093409280. Its totient is φ = 6211296000.

The previous prime is 19002038057. The next prime is 19002038129. The reversal of 19002038112 is 21183020091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×190020381122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432787 + ... + 3438317.

It is an arithmetic number, because the mean of its divisors is an integer number (382593120).

Almost surely, 219002038112 is an apocalyptic number.

19002038112 is a gapful number since it is divisible by the number (12) 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 19002038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546704640).

19002038112 is an abundant number, since it is smaller than the sum of its proper divisors (36091371168).

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

19002038112 is a wasteful number, since it uses less digits than its factorization.

19002038112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 19002038112 in words is "nineteen billion, two million, thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 151 158 237 288 302 316 453 474 604 632 711 906 948 1208 1264 1359 1422 1812 1896 2416 2528 2718 2844 3624 3792 4832 5436 5531 5688 7248 7584 10872 11062 11376 11929 14496 16593 21744 22124 22752 23858 33186 35787 43488 44248 47716 49779 66372 71574 88496 95432 99558 107361 132744 143148 176992 190864 199116 214722 265488 286296 381728 398232 429444 436949 530976 572592 796464 835181 858888 873898 1145184 1310847 1592928 1670362 1717776 1747796 2505543 2621694 3340724 3435552 3495592 3932541 5011086 5243388 6681448 6991184 7516629 7865082 10022172 10486776 13362896 13982368 15033258 15730164 20044344 20973552 26725792 30066516 31460328 40088688 41947104 60133032 62920656 65979299 80177376 120266064 125841312 131958598 197937897 240532128 263917196 395875794 527834392 593813691 791751588 1055668784 1187627382 1583503176 2111337568 2375254764 3167006352 4750509528 6334012704 9501019056 19002038112