Search a number
-
+
46081478100 = 22352761335797
BaseRepresentation
bin101010111010101010…
…111000110111010100
311101221111102122010010
4222322222320313110
51223333324244400
633100342000220
73220641046440
oct527252706724
9141844378103
1046081478100
11185a787a5a9
128b20716070
134464ca8408
142332149820
1512ea866450
hexabaab8dd4

46081478100 has 144 divisors (see below), whose sum is σ = 152628925568. Its totient is φ = 10515432960.

The previous prime is 46081478081. The next prime is 46081478117. The reversal of 46081478100 is 187418064.

It is a super-2 number, since 2×460814781002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269402 + ... + 1305198.

Almost surely, 246081478100 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 46081478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76314462784).

46081478100 is an abundant number, since it is smaller than the sum of its proper divisors (106547447468).

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

46081478100 is a wasteful number, since it uses less digits than its factorization.

46081478100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36434 (or 36427 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 46081478100 in words is "forty-six billion, eighty-one million, four hundred seventy-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 613 700 1050 1226 1839 2100 2452 3065 3678 4291 6130 7356 8582 9195 12260 12873 15325 17164 18390 21455 25746 30650 35797 36780 42910 45975 51492 61300 64365 71594 85820 91950 107275 107391 128730 143188 178985 183900 214550 214782 250579 257460 321825 357970 429100 429564 501158 536955 643650 715940 751737 894925 1002316 1073910 1252895 1287300 1503474 1789850 2147820 2505790 2684775 3006948 3579700 3758685 5011580 5369550 6264475 7517370 10739100 12528950 15034740 18793425 21943561 25057900 37586850 43887122 65830683 75173700 87774244 109717805 131661366 153604927 219435610 263322732 307209854 329153415 438871220 460814781 548589025 614419708 658306830 768024635 921629562 1097178050 1316613660 1536049270 1645767075 1843259124 2194356100 2304073905 3072098540 3291534150 3840123175 4608147810 6583068300 7680246350 9216295620 11520369525 15360492700 23040739050 46081478100