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4757066340 = 2235137278389
BaseRepresentation
bin1000110111000101…
…10001001001100100
3110021112021000020020
410123202301021210
534220302110330
62104012235140
7225612253035
oct43342611144
913245230206
104757066340
112021270394
12b0916bab0
135aa721670
14331b04a8c
151cc96b210
hex11b8b1264

4757066340 has 96 divisors (see below), whose sum is σ = 14365827840. Its totient is φ = 1169220096.

The previous prime is 4757066339. The next prime is 4757066341. The reversal of 4757066340 is 436607574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4757066339) and next prime (4757066341).

It is a junction number, because it is equal to n+sod(n) for n = 4757066292 and 4757066301.

It is not an unprimeable number, because it can be changed into a prime (4757066341) 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, 562866 + ... + 571254.

It is an arithmetic number, because the mean of its divisors is an integer number (149644040).

Almost surely, 24757066340 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 4757066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182913920).

4757066340 is an abundant number, since it is smaller than the sum of its proper divisors (9608761500).

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

4757066340 is a wasteful number, since it uses less digits than its factorization.

4757066340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 4757066340 is about 68971.4893271125. The cubic root of 4757066340 is about 1681.8208644657.

The spelling of 4757066340 in words is "four billion, seven hundred fifty-seven million, sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 727 780 1454 2181 2908 3635 4362 7270 8389 8724 9451 10905 14540 16778 18902 21810 25167 28353 33556 37804 41945 43620 47255 50334 56706 83890 94510 100668 109057 113412 125835 141765 167780 189020 218114 251670 283530 327171 436228 503340 545285 567060 654342 1090570 1308684 1635855 2181140 3271710 6098803 6543420 12197606 18296409 24395212 30494015 36592818 60988030 73185636 79284439 91482045 121976060 158568878 182964090 237853317 317137756 365928180 396422195 475706634 792844390 951413268 1189266585 1585688780 2378533170 4757066340