Search a number
-
+
2086469632 = 216133179
BaseRepresentation
bin111110001011101…
…0000000000000000
312101102001122021001
41330113100000000
513233114012012
6543012141344
7102463461562
oct17427200000
95342048231
102086469632
11980837575
124a2907854
13273361420
1415b167332
15c3293357
hex7c5d0000

2086469632 has 136 divisors (see below), whose sum is σ = 4697584640. Its totient is φ = 920125440.

The previous prime is 2086469621. The next prime is 2086469659. The reversal of 2086469632 is 2369646802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26410969 + ... + 26411047.

Almost surely, 22086469632 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 2086469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348792320).

2086469632 is an abundant number, since it is smaller than the sum of its proper divisors (2611115008).

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

2086469632 is an frugal number, since it uses more digits than its factorization.

2086469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 2086469632 is about 45677.8899687803. The cubic root of 2086469632 is about 1277.8229660496.

The spelling of 2086469632 in words is "two billion, eighty-six million, four hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 128 158 208 248 256 316 403 416 496 512 632 806 832 992 1024 1027 1264 1612 1664 1984 2048 2054 2449 2528 3224 3328 3968 4096 4108 4898 5056 6448 6656 7936 8192 8216 9796 10112 12896 13312 15872 16384 16432 19592 20224 25792 26624 31744 31837 32768 32864 39184 40448 51584 53248 63488 63674 65536 65728 78368 80896 103168 106496 126976 127348 131456 156736 161792 206336 212992 253952 254696 262912 313472 323584 412672 425984 507904 509392 525824 626944 647168 825344 851968 1015808 1018784 1051648 1253888 1294336 1650688 2031616 2037568 2103296 2507776 2588672 3301376 4075136 4206592 5015552 5177344 6602752 8150272 8413184 10031104 13205504 16300544 16826368 20062208 26411008 32601088 33652736 40124416 65202176 67305472 80248832 130404352 160497664 260808704 521617408 1043234816 2086469632