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7130763016 = 23132175572
BaseRepresentation
bin1101010010000011…
…01100111100001000
3200101221210021220221
412221001230330020
5104100433404031
63135324555424
7341464325356
oct65101547410
920357707827
107130763016
11302a147883
1214700b2b74
1389842ab00
144b90787d6
152bb048a11
hex1a906cf08

7130763016 has 72 divisors (see below), whose sum is σ = 15356973870. Its totient is φ = 3091964928.

The previous prime is 7130763011. The next prime is 7130763019. The reversal of 7130763016 is 6103670317.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 770062500 + 6360700516 = 27750^2 + 79754^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130763011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12801810 + ... + 12802366.

Almost surely, 27130763016 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 7130763016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678486935).

7130763016 is an abundant number, since it is smaller than the sum of its proper divisors (8226210854).

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

7130763016 is a wasteful number, since it uses less digits than its factorization.

7130763016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 7130763016 is about 84443.8453411496. The cubic root of 7130763016 is about 1924.7692322232.

Multiplying 7130763016 by its sum of digits (34), we get a square (242445942544 = 4923882).

7130763016 divided by its sum of digits (34) gives a square (209728324 = 144822).

The spelling of 7130763016 in words is "seven billion, one hundred thirty million, seven hundred sixty-three thousand, sixteen".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 557 676 884 1114 1352 1768 2228 2873 4456 5746 7241 9469 11492 14482 18938 22984 28964 37876 57928 75752 94133 123097 188266 246194 310249 376532 492388 620498 753064 984776 1240996 1600261 2481992 3200522 4033237 5274233 6401044 8066474 10548466 12802088 16132948 21096932 32265896 42193864 52432081 68565029 104864162 137130058 209728324 274260116 419456648 548520232 891345377 1782690754 3565381508 7130763016