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3997148652 = 2232747349967
BaseRepresentation
bin1110111000111111…
…1010010111101100
3101022120100012010200
43232033322113230
531141232224102
61500344433500
7201024126420
oct35617722754
911276305120
103997148652
111771316a42
12936778890
134b9163923
1429cc10b80
15185db051c
hexee3fa5ec

3997148652 has 144 divisors (see below), whose sum is σ = 11839027200. Its totient is φ = 1113388416.

The previous prime is 3997148641. The next prime is 3997148663. The reversal of 3997148652 is 2568417993.

3997148652 is a `hidden beast` number, since 3 + 99 + 71 + 486 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3997148641) and next prime (3997148663).

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, 4133073 + ... + 4134039.

Almost surely, 23997148652 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 3997148652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919513600).

3997148652 is an abundant number, since it is smaller than the sum of its proper divisors (7841878548).

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

3997148652 is a wasteful number, since it uses less digits than its factorization.

3997148652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1375 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3997148652 is about 63223.0072995583. The cubic root of 3997148652 is about 1587.0237762407.

The spelling of 3997148652 in words is "three billion, nine hundred ninety-seven million, one hundred forty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 349 423 564 658 698 846 967 987 1047 1316 1396 1692 1934 1974 2094 2443 2901 2961 3141 3868 3948 4188 4886 5802 5922 6282 6769 7329 8703 9772 11604 11844 12564 13538 14658 16403 17406 20307 21987 27076 29316 32806 34812 40614 43974 45449 49209 60921 65612 81228 87948 90898 98418 114821 121842 136347 147627 181796 196836 229642 243684 272694 295254 318143 337483 344463 409041 459284 545388 590508 636286 674966 688926 818082 954429 1012449 1033389 1272572 1349932 1377852 1636164 1908858 2024898 2066778 2362381 2863287 3037347 3817716 4049796 4133556 4724762 5726574 6074694 7087143 9449524 11453148 12149388 14174286 15861701 21261429 28348572 31723402 42522858 47585103 63446804 85045716 95170206 111031907 142755309 190340412 222063814 285510618 333095721 444127628 571021236 666191442 999287163 1332382884 1998574326 3997148652