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989974344192 = 2934118618447
BaseRepresentation
bin11100110011111110001…
…00011011001000000000
310111122022000101100012120
432121333010123020000
5112204431413003232
62034442105524240
7131344326040551
oct16317704331000
93448260340176
10989974344192
11351933788339
1213ba444a3680
137247b197822
1435cb4b26328
151ab414db92c
hexe67f11b200

989974344192 has 160 divisors (see below), whose sum is σ = 2703450968064. Its totient is φ = 321731788800.

The previous prime is 989974344173. The next prime is 989974344223. The reversal of 989974344192 is 291443479989.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117194113 + ... + 117202559.

Almost surely, 2989974344192 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 989974344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351725484032).

989974344192 is an abundant number, since it is smaller than the sum of its proper divisors (1713476623872).

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

989974344192 is a wasteful number, since it uses less digits than its factorization.

989974344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10354 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 69.

The spelling of 989974344192 in words is "nine hundred eighty-nine billion, nine hundred seventy-four million, three hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1861 1968 2624 3722 3936 5248 5583 7444 7872 8447 10496 11166 14888 15744 16894 20992 22332 25341 29776 31488 33788 44664 50682 59552 62976 67576 76301 89328 101364 119104 135152 152602 178656 202728 228903 238208 270304 305204 346327 357312 405456 457806 476416 540608 610408 692654 714624 810912 915612 952832 1038981 1081216 1220816 1385308 1429248 1621824 1831224 2077962 2162432 2441632 2770616 2858496 3243648 3662448 4155924 4324864 4883264 5541232 6487296 7324896 8311848 9766528 11082464 12974592 14649792 15719867 16623696 19533056 22164928 29299584 31439734 33247392 39066112 44329856 47159601 58599168 62879468 66494784 88659712 94319202 117198336 125758936 132989568 177319424 188638404 251517872 265979136 377276808 503035744 531958272 644514547 754553616 1006071488 1289029094 1509107232 1933543641 2012142976 2578058188 3018214464 3867087282 4024285952 5156116376 6036428928 7734174564 8048571904 10312232752 12072857856 15468349128 20624465504 24145715712 30936698256 41248931008 61873396512 82497862016 123746793024 164995724032 247493586048 329991448064 494987172096 989974344192