Search a number
-
+
30198704004 = 22327537928621
BaseRepresentation
bin11100000111111110…
…111010011110000100
32212221121012010000200
4130013332322132010
5443321332012004
621512331010500
72116231514550
oct340776723604
985847163020
1030198704004
1111897421317
125a29599a30
132b035b7531
1416669b0860
15bbb2c9239
hex707fba784

30198704004 has 144 divisors (see below), whose sum is σ = 90015045120. Its totient is φ = 8357955840.

The previous prime is 30198703991. The next prime is 30198704023. The reversal of 30198704004 is 40040789103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30198704004.

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, 1040814 + ... + 1069434.

It is an arithmetic number, because the mean of its divisors is an integer number (625104480).

Almost surely, 230198704004 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 30198704004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45007522560).

30198704004 is an abundant number, since it is smaller than the sum of its proper divisors (59816341116).

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

30198704004 is a wasteful number, since it uses less digits than its factorization.

30198704004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28770 (or 28765 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 30198704004 in words is "thirty billion, one hundred ninety-eight million, seven hundred four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 79 84 106 126 158 159 212 237 252 316 318 371 474 477 553 636 711 742 948 954 1106 1113 1422 1484 1659 1908 2212 2226 2844 3318 3339 4187 4452 4977 6636 6678 8374 9954 12561 13356 16748 19908 25122 28621 29309 37683 50244 57242 58618 75366 85863 87927 114484 117236 150732 171726 175854 200347 257589 263781 343452 351708 400694 515178 527562 601041 801388 1030356 1055124 1202082 1516913 1803123 2261059 2404164 3033826 3606246 4522118 4550739 6067652 6783177 7212492 9044236 9101478 10618391 13566354 13652217 15827413 18202956 20349531 21236782 27132708 27304434 31654826 31855173 40699062 42473564 47482239 54608868 63309652 63710346 81398124 94964478 95565519 119836127 127420692 142446717 189928956 191131038 239672254 284893434 359508381 382262076 479344508 569786868 719016762 838852889 1078525143 1438033524 1677705778 2157050286 2516558667 3355411556 4314100572 5033117334 7549676001 10066234668 15099352002 30198704004