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94042259712 = 2837167971
BaseRepresentation
bin101011110010101011…
…0110000000100000000
322222201222002210000000
41113211112300010000
53020044304302322
6111111420000000
76536312006202
oct1274526600400
9288658083000
1094042259712
11369794496a5
1216286690000
138b3941bc2b
1447a1ad2772
1526a619d3ac
hex15e55b0100

94042259712 has 144 divisors (see below), whose sum is σ = 281534509760. Its totient is φ = 31347233280.

The previous prime is 94042259683. The next prime is 94042259713. The reversal of 94042259712 is 21795224049.

94042259712 is a `hidden beast` number, since 9 + 4 + 0 + 42 + 2 + 597 + 12 = 666.

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

It is a super-2 number, since 2×940422597122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (94042259713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475887 + ... + 643857.

Almost surely, 294042259712 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 94042259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767254880).

94042259712 is an abundant number, since it is smaller than the sum of its proper divisors (187492250048).

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

94042259712 is an frugal number, since it uses more digits than its factorization.

94042259712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168008 (or 167976 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 94042259712 in words is "ninety-four billion, forty-two million, two hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6912 7776 8748 10368 11664 15552 17496 20736 23328 31104 34992 46656 62208 69984 93312 139968 167971 186624 279936 335942 503913 559872 671884 1007826 1343768 1511739 2015652 2687536 3023478 4031304 4535217 5375072 6046956 8062608 9070434 10750144 12093912 13605651 16125216 18140868 21500288 24187824 27211302 32250432 36281736 40816953 43000576 48375648 54422604 64500864 72563472 81633906 96751296 108845208 122450859 129001728 145126944 163267812 193502592 217690416 244901718 290253888 326535624 367352577 387005184 435380832 489803436 580507776 653071248 734705154 870761664 979606872 1161015552 1306142496 1469410308 1741523328 1959213744 2612284992 2938820616 3483046656 3918427488 5224569984 5877641232 7836854976 10449139968 11755282464 15673709952 23510564928 31347419904 47021129856 94042259712