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74006740040 = 23541163276847
BaseRepresentation
bin100010011101100100…
…1010011110001001000
321002000122201220220212
41010323021103301020
52203031211140130
653555341140252
75226645624332
oct1047311236110
9232018656825
1074006740040
112942796a182
121241485a688
136c95588b4c
143820c02452
151dd2267e95
hex113b253c48

74006740040 has 64 divisors (see below), whose sum is σ = 171623612160. Its totient is φ = 28703393280.

The previous prime is 74006739977. The next prime is 74006740043. The reversal of 74006740040 is 4004760047.

It is a junction number, because it is equal to n+sod(n) for n = 74006739979 and 74006740006.

It is not an unprimeable number, because it can be changed into a prime (74006740043) 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, 128897 + ... + 405743.

It is an arithmetic number, because the mean of its divisors is an integer number (2681618940).

Almost surely, 274006740040 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 74006740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85811806080).

74006740040 is an abundant number, since it is smaller than the sum of its proper divisors (97616872120).

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

74006740040 is a wasteful number, since it uses less digits than its factorization.

74006740040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277062 (or 277058 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The spelling of 74006740040 in words is "seventy-four billion, six million, seven hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 163 164 205 326 328 410 652 815 820 1304 1630 1640 3260 6520 6683 13366 26732 33415 53464 66830 133660 267320 276847 553694 1107388 1384235 2214776 2768470 5536940 11073880 11350727 22701454 45126061 45402908 56753635 90252122 90805816 113507270 180504244 225630305 227014540 361008488 451260610 454029080 902521220 1805042440 1850168501 3700337002 7400674004 9250842505 14801348008 18501685010 37003370020 74006740040