Search a number
-
+
1030292297632 = 25132299077243
BaseRepresentation
bin11101111111000100011…
…01001101011110100000
310122111100211201120211101
432333202031031132200
5113340014312011012
62105150523324144
7134302414014403
oct16774215153640
93574324646741
101030292297632
11367a43162514
12147816980654
1376205092900
1437c1b61bd3a
151bc00d7bd57
hexefe234d7a0

1030292297632 has 144 divisors (see below), whose sum is σ = 2274977910240. Its totient is φ = 458552779776.

The previous prime is 1030292297599. The next prime is 1030292297651. The reversal of 1030292297632 is 2367922920301.

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, 142243003 + ... + 142250245.

It is an arithmetic number, because the mean of its divisors is an integer number (15798457710).

Almost surely, 21030292297632 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 1030292297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137488955120).

1030292297632 is an abundant number, since it is smaller than the sum of its proper divisors (1244685612608).

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

1030292297632 is a wasteful number, since it uses less digits than its factorization.

1030292297632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 1030292297632 in words is "one trillion, thirty billion, two hundred ninety-two million, two hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 169 208 232 338 377 416 464 676 754 907 928 1352 1508 1814 2704 3016 3628 4901 5408 6032 7243 7256 9802 11791 12064 14486 14512 19604 23582 26303 28972 29024 39208 47164 52606 57944 78416 94159 94328 105212 115888 153283 156832 188318 188656 210047 210424 231776 306566 341939 376636 377312 420094 420848 613132 683878 753272 840188 841696 1224067 1226264 1367756 1506544 1680376 2448134 2452528 2730611 2735512 3013088 3360752 4445207 4896268 4905056 5461222 5471024 6569401 6721504 8890414 9792536 10922444 10942048 13138802 17780828 19585072 21844888 26277604 35497943 35561656 39170144 43689776 52555208 70995886 71123312 85402213 87379552 105110416 141991772 142246624 170804426 190512629 210220832 283983544 341608852 381025258 567967088 683217704 762050516 1110228769 1135934176 1366435408 1524101032 2220457538 2476664177 2732870816 3048202064 4440915076 4953328354 6096404128 8881830152 9906656708 17763660304 19813313416 32196634301 35527320608 39626626832 64393268602 79253253664 128786537204 257573074408 515146148816 1030292297632