Search a number
-
+
1030638260772 = 2233192321837407
BaseRepresentation
bin11101111111101101101…
…00111101001000100100
310122112020221201100001000
432333312310331020210
5113341221343321042
62105245122433300
7134314114446321
oct16776664751044
93575227640030
101030638260772
1136810047a76a
121478b2802830
137625b964523
1437c51557b48
151bc2141974c
hexeff6d3d224

1030638260772 has 96 divisors (see below), whose sum is σ = 2934947635200. Its totient is φ = 311314059936.

The previous prime is 1030638260761. The next prime is 1030638260783. The reversal of 1030638260772 is 2770628360301.

1030638260772 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 38 + 2 + 607 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1030638260761) and next prime (1030638260783).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10871508 + ... + 10965899.

It is an arithmetic number, because the mean of its divisors is an integer number (30572371200).

Almost surely, 21030638260772 is an apocalyptic number.

1030638260772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030638260772 is an abundant number, since it is smaller than the sum of its proper divisors (1904309374428).

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

1030638260772 is a wasteful number, since it uses less digits than its factorization.

1030638260772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837462 (or 21837454 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1030638260772 in words is "one trillion, thirty billion, six hundred thirty-eight million, two hundred sixty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1242 1311 1748 2052 2484 2622 3933 5244 7866 11799 15732 23598 47196 21837407 43674814 65512221 87349628 131024442 196536663 262048884 393073326 414910733 502260361 589609989 786146652 829821466 1004520722 1179219978 1244732199 1506781083 1659642932 2009041444 2358439956 2489464398 3013562166 3734196597 4520343249 4978928796 6027124332 7468393194 9040686498 9542946859 11202589791 13561029747 14936786388 18081372996 19085893718 22405179582 27122059494 28628840577 38171787436 44810359164 54244118988 57257681154 85886521731 114515362308 171773043462 257659565193 343546086924 515319130386 1030638260772