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7122842628 = 22311267211347
BaseRepresentation
bin1101010001000110…
…11111010000000100
3200101101212220012020
412220203133100010
5104041421431003
63134443123140
7341340110016
oct65043372004
920341786166
107122842628
113025728100
1214695134b0
138968b69a5
144b7db61b6
152ba4d1d53
hex1a88df404

7122842628 has 144 divisors (see below), whose sum is σ = 18682444032. Its totient is φ = 2110046400.

The previous prime is 7122842591. The next prime is 7122842633. The reversal of 7122842628 is 8262482217.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7122842628.

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, 20526751 + ... + 20527097.

Almost surely, 27122842628 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 7122842628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341222016).

7122842628 is an abundant number, since it is smaller than the sum of its proper divisors (11559601404).

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

7122842628 is a wasteful number, since it uses less digits than its factorization.

7122842628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 7122842628 is about 84396.9349443450. The cubic root of 7122842628 is about 1924.0563320312.

The spelling of 7122842628 in words is "seven billion, one hundred twenty-two million, eight hundred forty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 211 242 268 347 363 402 422 484 633 694 726 737 804 844 1041 1266 1388 1452 1474 2082 2211 2321 2532 2948 3817 4164 4422 4642 6963 7634 8107 8844 9284 11451 13926 14137 15268 16214 22902 23249 24321 25531 27852 28274 32428 41987 42411 45804 46498 48642 51062 56548 69747 73217 76593 83974 84822 92996 97284 102124 125961 139494 146434 153186 155507 167948 169644 219651 251922 255739 278988 292868 306372 311014 439302 466521 503844 511478 622028 767217 805387 878604 933042 1022956 1534434 1610774 1710577 1866084 2416161 2813129 3068868 3221548 3421154 4832322 4905539 5131731 5626258 6842308 8439387 8859257 9664644 9811078 10263462 11252516 14716617 16878774 17718514 19622156 20526924 26577771 29433234 33757548 35437028 53155542 53960929 58866468 106311084 107921858 161882787 215843716 323765574 593570219 647531148 1187140438 1780710657 2374280876 3561421314 7122842628