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7426432664 = 23731411031013
BaseRepresentation
bin1101110101010011…
…00101111010011000
3201011120010212102122
412322221211322120
5110202131321124
63224530120412
7352014431120
oct67251457230
921146125378
107426432664
113171033862
121533120108
13914770871
14506441c80
152d6e9e75e
hex1baa65e98

7426432664 has 128 divisors (see below), whose sum is σ = 17007943680. Its totient is φ = 2972851200.

The previous prime is 7426432661. The next prime is 7426432667. The reversal of 7426432664 is 4662346247.

It is an interprime number because it is at equal distance from previous prime (7426432661) and next prime (7426432667).

It is a super-2 number, since 2×74264326642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7426432661) 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, 7330622 + ... + 7331634.

It is an arithmetic number, because the mean of its divisors is an integer number (132874560).

Almost surely, 27426432664 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 7426432664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503971840).

7426432664 is an abundant number, since it is smaller than the sum of its proper divisors (9581511016).

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

7426432664 is a wasteful number, since it uses less digits than its factorization.

7426432664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1197 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 44.

The square root of 7426432664 is about 86176.7524567966. The cubic root of 7426432664 is about 1951.0126376653.

The spelling of 7426432664 in words is "seven billion, four hundred twenty-six million, four hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 103 124 164 206 217 248 287 328 412 434 574 721 824 868 1013 1148 1271 1442 1736 2026 2296 2542 2884 3193 4052 4223 5084 5768 6386 7091 8104 8446 8897 10168 12772 14182 16892 17794 22351 25544 28364 29561 31403 33784 35588 41533 44702 56728 59122 62806 71176 83066 89404 104339 118244 125612 130913 166132 178808 208678 219821 236488 251224 261826 290731 332264 417356 439642 523652 581462 730373 834712 879284 916391 1047304 1162924 1287523 1460746 1758568 1832782 2325848 2575046 2921492 3234509 3665564 4277899 5150092 5842984 6469018 7331128 8555798 9012661 10300184 12938036 17111596 18025322 22641563 25876072 29945293 34223192 36050644 45283126 59890586 72101288 90566252 119781172 132614869 181132504 239562344 265229738 530459476 928304083 1060918952 1856608166 3713216332 7426432664