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746960342172 = 2231137303750359
BaseRepresentation
bin10101101111010100100…
…11100100110010011100
32122102000221122221201020
422313222103210302130
544214233321422142
61331052052244140
7104652242102052
oct12675223446234
92572027587636
10746960342172
11268869704840
12100923610650
135559054b565
14282200681d2
151466bb72cec
hexadea4e4c9c

746960342172 has 96 divisors (see below), whose sum is σ = 1953423306240. Its totient is φ = 220157118720.

The previous prime is 746960342159. The next prime is 746960342173. The reversal of 746960342172 is 271243069647.

It is a happy number.

It is a super-2 number, since 2×7469603421722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746960342173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14807529 + ... + 14857887.

It is an arithmetic number, because the mean of its divisors is an integer number (20348159440).

Almost surely, 2746960342172 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 746960342172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976711653120).

746960342172 is an abundant number, since it is smaller than the sum of its proper divisors (1206462964068).

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

746960342172 is a wasteful number, since it uses less digits than its factorization.

746960342172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53451 (or 53449 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 746960342172 in words is "seven hundred forty-six billion, nine hundred sixty million, three hundred forty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 3037 4884 6074 9111 12148 18222 33407 36444 50359 66814 100221 100718 112369 133628 151077 200442 201436 224738 302154 337107 400884 449476 553949 604308 674214 1107898 1236059 1348428 1661847 1863283 2215796 2472118 3323694 3708177 3726566 4944236 5589849 6647388 7416354 7453132 11179698 14832708 20496113 22359396 40992226 61488339 81984452 122976678 152940283 245953356 305880566 458820849 611761132 917641698 1682343113 1835283396 3364686226 5047029339 5658790471 6729372452 10094058678 11317580942 16976371413 20188117356 22635161884 33952742826 62246695181 67905485652 124493390362 186740085543 248986780724 373480171086 746960342172