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30625147098 = 232721313012053
BaseRepresentation
bin11100100001011001…
…101010100011011010
32221001022121122222100
4130201121222203122
51000210014201343
622022523104230
72132630312100
oct344131524332
987038548870
1030625147098
1111a96108327
125b28372076
132b70a56b20
1416a7499c70
15be39629d3
hex72166a8da

30625147098 has 144 divisors (see below), whose sum is σ = 83229813576. Its totient is φ = 8066822400.

The previous prime is 30625147081. The next prime is 30625147117. The reversal of 30625147098 is 89074152603.

30625147098 is a `hidden beast` number, since 3 + 0 + 62 + 514 + 70 + 9 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10275268689 + 20349878409 = 101367^2 + 142653^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14916240 + ... + 14918292.

It is a 1-persistent number, because it is pandigital, but 2⋅30625147098 = 61250294196 is not.

Almost surely, 230625147098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30625147098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41614906788).

30625147098 is an abundant number, since it is smaller than the sum of its proper divisors (52604666478).

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

30625147098 is a wasteful number, since it uses less digits than its factorization.

30625147098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30625147098 in words is "thirty billion, six hundred twenty-five million, one hundred forty-seven thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1301 1638 1911 2053 2602 3822 3903 4106 5733 6159 7806 9107 11466 11709 12318 14371 16913 18214 18477 23418 26689 27321 28742 33826 36954 43113 50739 53378 54642 63749 80067 81963 86226 100597 101478 118391 127498 129339 152217 160134 163926 186823 191247 201194 236782 240201 258678 301791 304434 355173 373646 382494 480402 560469 573741 603582 710346 828737 905373 1065519 1120938 1147482 1307761 1657474 1681407 1810746 2131038 2486211 2615522 2670953 3362814 3923283 4972422 5341906 7458633 7846566 8012859 11769849 14917266 16025718 18696671 23539698 24038577 34722389 37393342 48077154 56090013 69444778 104167167 112180026 130876697 168270039 208334334 243056723 261753394 312501501 336540078 392630091 486113446 625003002 729170169 785260182 1177890273 1458340338 1701397061 2187510507 2355780546 3402794122 4375021014 5104191183 10208382366 15312573549 30625147098