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4966445790 = 23251711092927
BaseRepresentation
bin1001010000000010…
…11111001011011110
3110211010020120211200
410220001133023132
540132402231130
62140452100330
7234034043535
oct45001371336
913733216750
104966445790
11211947a259
12b673046a6
13611c10c27
1435184931c
151e1029760
hex12805f2de

4966445790 has 96 divisors (see below), whose sum is σ = 13689336960. Its totient is φ = 1244931072.

The previous prime is 4966445789. The next prime is 4966445833. The reversal of 4966445790 is 975446694.

It is a happy number.

4966445790 is a `hidden beast` number, since 4 + 9 + 6 + 64 + 4 + 579 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1695307 + ... + 1698233.

It is an arithmetic number, because the mean of its divisors is an integer number (142597260).

Almost surely, 24966445790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966445790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844668480).

4966445790 is an abundant number, since it is smaller than the sum of its proper divisors (8722891170).

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

4966445790 is a wasteful number, since it uses less digits than its factorization.

4966445790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4966445790 is about 70473.0146226199. The cubic root of 4966445790 is about 1706.1422318925.

The spelling of 4966445790 in words is "four billion, nine hundred sixty-six million, four hundred forty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1109 1530 2218 2927 3327 5545 5854 6654 8781 9981 11090 14635 16635 17562 18853 19962 26343 29270 33270 37706 43905 49759 49905 52686 56559 87810 94265 99518 99810 113118 131715 149277 169677 188530 248795 263430 282795 298554 339354 447831 497590 565590 746385 848385 895662 1492770 1696770 2239155 3246043 4478310 6492086 9738129 16230215 19476258 29214387 32460430 48690645 55182731 58428774 97381290 110365462 146071935 165548193 275913655 292143870 331096386 496644579 551827310 827740965 993289158 1655481930 2483222895 4966445790