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58874130036 = 22327324192957
BaseRepresentation
bin110110110101001010…
…111110111001110100
312121222001001200111200
4312311022332321310
51431033234130121
643014004532500
74152645563661
oct666512767164
9177861050450
1058874130036
1122a71a03317
12b4b09b1130
13572341c347
142bc713ca68
1517e89aba26
hexdb52bee74

58874130036 has 72 divisors (see below), whose sum is σ = 151486959624. Its totient is φ = 19275356160.

The previous prime is 58874130001. The next prime is 58874130047. The reversal of 58874130036 is 63003147885.

58874130036 is a `hidden beast` number, since 588 + 7 + 4 + 1 + 30 + 0 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10718460900 + 48155669136 = 103530^2 + 219444^2 .

It is a super-2 number, since 2×588741300362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58874129973 and 58874130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586870 + ... + 679826.

Almost surely, 258874130036 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 58874130036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75743479812).

58874130036 is an abundant number, since it is smaller than the sum of its proper divisors (92612829588).

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

58874130036 is a wasteful number, since it uses less digits than its factorization.

58874130036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93281 (or 93276 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 58874130036 in words is "fifty-eight billion, eight hundred seventy-four million, one hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 241 292 438 482 657 723 876 964 1314 1446 2169 2628 2892 4338 8676 17593 35186 52779 70372 92957 105558 158337 185914 211116 278871 316674 371828 557742 633348 836613 1115484 1673226 3346452 6785861 13571722 20357583 22402637 27143444 40715166 44805274 61072749 67207911 81430332 89610548 122145498 134415822 201623733 244290996 268831644 403247466 806494932 1635392501 3270785002 4906177503 6541570004 9812355006 14718532509 19624710012 29437065018 58874130036