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7000138098 = 2341011732473
BaseRepresentation
bin1101000010011110…
…11010000101110010
3200001211222212020000
412201033122011302
5103314013404343
63114341130430
7335320122612
oct64117320562
920054885200
107000138098
112a724393a8
1214343b9a16
13877353a65
144a5994a42
152ae844ed3
hex1a13da172

7000138098 has 80 divisors (see below), whose sum is σ = 15938804376. Its totient is φ = 2295993600.

The previous prime is 7000138073. The next prime is 7000138121. The reversal of 7000138098 is 8908310007.

It can be written as a sum of positive squares in 4 ways, for example, as 6507164889 + 492973209 = 80667^2 + 22203^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2829390 + ... + 2831862.

Almost surely, 27000138098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000138098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969402188).

7000138098 is an abundant number, since it is smaller than the sum of its proper divisors (8938666278).

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

7000138098 is a wasteful number, since it uses less digits than its factorization.

7000138098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7000138098 is about 83666.8279427396. The cubic root of 7000138098 is about 1912.9437623073.

The spelling of 7000138098 in words is "seven billion, one hundred thirty-eight thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 173 202 303 346 519 606 909 1038 1557 1818 2473 2727 3114 4671 4946 5454 7419 8181 9342 14013 14838 16362 17473 22257 28026 34946 44514 52419 66771 104838 133542 157257 200313 249773 314514 400626 427829 471771 499546 749319 855658 943542 1283487 1415313 1498638 2247957 2566974 2830626 3850461 4495914 6743871 7700922 11551383 13487742 20231613 23102766 34654149 40463226 43210729 69308298 86421458 129632187 259264374 388896561 777793122 1166689683 2333379366 3500069049 7000138098