Search a number
-
+
30635263932 = 223721319120983
BaseRepresentation
bin11100100010000000…
…010000011110111100
32221002000122122122220
4130202000100132330
51000220111421212
622023524005340
72133112306200
oct344200203674
987060578586
1030635263932
1111aa0898249
125b2b830850
132b72b89910
1416a8970b00
15be47b038c
hex7220107bc

30635263932 has 144 divisors (see below), whose sum is σ = 90022367232. Its totient is φ = 8036945280.

The previous prime is 30635263927. The next prime is 30635263937. The reversal of 30635263932 is 23936253603.

It is an interprime number because it is at equal distance from previous prime (30635263927) and next prime (30635263937).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30635263937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449513 + ... + 1470495.

It is an arithmetic number, because the mean of its divisors is an integer number (625155328).

Almost surely, 230635263932 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 30635263932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45011183616).

30635263932 is an abundant number, since it is smaller than the sum of its proper divisors (59387103300).

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

30635263932 is a wasteful number, since it uses less digits than its factorization.

30635263932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21208 (or 21199 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 42.

The spelling of 30635263932 in words is "thirty billion, six hundred thirty-five million, two hundred sixty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 191 196 273 294 364 382 546 573 588 637 764 1092 1146 1274 1337 1911 2292 2483 2548 2674 3822 4011 4966 5348 7449 7644 8022 9359 9932 14898 16044 17381 18718 20983 28077 29796 34762 37436 41966 52143 56154 62949 69524 83932 104286 112308 121667 125898 146881 208572 243334 251796 272779 293762 365001 440643 486668 545558 587524 730002 818337 881286 1028167 1091116 1460004 1636674 1762572 1909453 2056334 3084501 3273348 3818906 4007753 4112668 5728359 6169002 7637812 8015506 11456718 12023259 12338004 13366171 16031012 22913436 24046518 26732342 28054271 40098513 48093036 52100789 53464684 56108542 80197026 84162813 104201578 112217084 156302367 160394052 168325626 196379897 208403156 312604734 336651252 364705523 392759794 589139691 625209468 729411046 785519588 1094116569 1178279382 1458822092 2188233138 2356558764 2552938661 4376466276 5105877322 7658815983 10211754644 15317631966 30635263932