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992472081072 = 2431921110614861
BaseRepresentation
bin11100111000100111111…
…00100010001010110000
310111212202002022112001220
432130103330202022300
5112230040323043242
62035534013025040
7131463245332353
oct16342374421260
93455662275056
10992472081072
113529a5685a9a
12140420a85180
13727887b3b44
143607074829a
151ac3a91bbec
hexe713f222b0

992472081072 has 160 divisors (see below), whose sum is σ = 2714732317440. Its totient is φ = 311568768000.

The previous prime is 992472081071. The next prime is 992472081143. The reversal of 992472081072 is 270180274299.

It is not an unprimeable number, because it can be changed into a prime (992472081071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204167922 + ... + 204172782.

It is an arithmetic number, because the mean of its divisors is an integer number (16967076984).

Almost surely, 2992472081072 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 992472081072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357366158720).

992472081072 is an abundant number, since it is smaller than the sum of its proper divisors (1722260236368).

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

992472081072 is a wasteful number, since it uses less digits than its factorization.

992472081072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 992472081072 in words is "nine hundred ninety-two billion, four hundred seventy-two million, eighty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 211 228 304 422 456 633 844 912 1061 1266 1688 2122 2532 3183 3376 4009 4244 4861 5064 6366 8018 8488 9722 10128 12027 12732 14583 16036 16976 19444 20159 24054 25464 29166 32072 38888 40318 48108 50928 58332 60477 64144 77776 80636 92359 96216 116664 120954 161272 184718 192432 223871 233328 241908 277077 322544 369436 447742 483816 554154 671613 738872 895484 967632 1025671 1108308 1343226 1477744 1790968 2051342 2216616 2686452 3077013 3581936 4102684 4253549 4433232 5157521 5372904 6154026 8205368 8507098 10315042 10745808 12308052 12760647 15472563 16410736 17014196 19487749 20630084 24616104 25521294 30945126 34028392 38975498 41260168 49232208 51042588 58463247 61890252 68056784 77950996 82520336 97992899 102085176 116926494 123780504 155901992 195985798 204170352 233852988 247561008 293978697 311803984 391971596 467705976 587957394 783943192 935411952 1088236931 1175914788 1567886384 2176473862 2351829576 3264710793 4352947724 4703659152 6529421586 8705895448 13058843172 17411790896 20676501689 26117686344 41353003378 52235372688 62029505067 82706006756 124059010134 165412013512 248118020268 330824027024 496236040536 992472081072