Search a number
-
+
46198832640 = 293535317041
BaseRepresentation
bin101011000001101010…
…100011111000000000
311102020200020212021120
4223001222203320000
51224103400121030
633120133152240
73223564412112
oct530152437000
9142220225246
1046198832640
1118658044824
128b53a8b680
1344833b717c
1423439773b2
151305ce8010
hexac1aa3e00

46198832640 has 160 divisors (see below), whose sum is σ = 148118975136. Its totient is φ = 12284067840.

The previous prime is 46198832621. The next prime is 46198832657. The reversal of 46198832640 is 4623889164.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702520 + ... + 2719560.

Almost surely, 246198832640 is an apocalyptic number.

46198832640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46198832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74059487568).

46198832640 is an abundant number, since it is smaller than the sum of its proper divisors (101920142496).

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

46198832640 is a wasteful number, since it uses less digits than its factorization.

46198832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17420 (or 17404 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 46198832640 in words is "forty-six billion, one hundred ninety-eight million, eight hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 353 384 480 512 640 706 768 960 1059 1280 1412 1536 1765 1920 2118 2560 2824 3530 3840 4236 5295 5648 7060 7680 8472 10590 11296 14120 16944 17041 21180 22592 28240 33888 34082 42360 45184 51123 56480 67776 68164 84720 85205 90368 102246 112960 135552 136328 169440 170410 180736 204492 225920 255615 271104 272656 338880 340820 408984 451840 511230 542208 545312 677760 681640 817968 903680 1022460 1090624 1355520 1363280 1635936 2044920 2181248 2711040 2726560 3271872 4089840 4362496 5453120 6015473 6543744 8179680 8724992 10906240 12030946 13087488 16359360 18046419 21812480 24061892 26174976 30077365 32718720 36092838 43624960 48123784 60154730 65437440 72185676 90232095 96247568 120309460 130874880 144371352 180464190 192495136 240618920 288742704 360928380 384990272 481237840 577485408 721856760 769980544 962475680 1154970816 1443713520 1539961088 1924951360 2309941632 2887427040 3079922176 3849902720 4619883264 5774854080 7699805440 9239766528 11549708160 15399610880 23099416320 46198832640