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17142070992 = 2433137503619
BaseRepresentation
bin11111111011011111…
…10011111011010000
31122020122211102200020
433331233303323100
5240101332232432
611512554023440
71144540125234
oct177557637320
948218742606
1017142070992
1172a7285722
1233a4a17b80
131802577297
14b889025c4
156a4ddc22c
hex3fdbf3ed0

17142070992 has 160 divisors (see below), whose sum is σ = 47116984320. Its totient is φ = 5360878080.

The previous prime is 17142070969. The next prime is 17142071021. The reversal of 17142070992 is 29907024171.

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, 27692859 + ... + 27693477.

It is an arithmetic number, because the mean of its divisors is an integer number (294481152).

Almost surely, 217142070992 is an apocalyptic number.

17142070992 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 17142070992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558492160).

17142070992 is an abundant number, since it is smaller than the sum of its proper divisors (29974913328).

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

17142070992 is a wasteful number, since it uses less digits than its factorization.

17142070992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 17142070992 in words is "seventeen billion, one hundred forty-two million, seventy thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 503 592 619 744 888 1006 1147 1238 1488 1509 1776 1857 2012 2294 2476 3018 3441 3714 4024 4588 4952 6036 6882 7428 8048 9176 9904 12072 13764 14856 15593 18352 18611 19189 22903 24144 27528 29712 31186 37222 38378 45806 46779 55056 55833 57567 62372 68709 74444 76756 91612 93558 111666 115134 124744 137418 148888 153512 183224 187116 223332 230268 249488 274836 297776 307024 311357 366448 374232 446664 460536 549672 576941 622714 709993 748464 893328 921072 934071 1099344 1153882 1245428 1419986 1730823 1868142 2129979 2307764 2490856 2839972 3461646 3736284 4259958 4615528 4981712 5679944 6923292 7472568 8519916 9231056 9652067 11359888 11520209 13846584 14945136 17039832 19304134 23040418 27693168 28956201 34079664 34560627 38608268 46080836 57912402 69121254 77216536 92161672 115824804 138242508 154433072 184323344 231649608 276485016 357126479 463299216 552970032 714252958 1071379437 1428505916 2142758874 2857011832 4285517748 5714023664 8571035496 17142070992