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46409596434 = 23347792111097
BaseRepresentation
bin101011001110001110…
…100011111000010010
311102210100211202212000
4223032032203320102
51230021324041214
633153102414430
73232034026605
oct531616437022
9142710752760
1046409596434
1118756009783
128bb2591416
1344b7c6c886
14236395c33c
15131957b809
hexace3a3e12

46409596434 has 128 divisors (see below), whose sum is σ = 107263180800. Its totient is φ = 14864653440.

The previous prime is 46409596427. The next prime is 46409596469. The reversal of 46409596434 is 43469590464.

46409596434 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 9 + 596 + 43 + 4 = 666.

46409596434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42305374 + ... + 42306470.

It is an arithmetic number, because the mean of its divisors is an integer number (837993600).

Almost surely, 246409596434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46409596434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53631590400).

46409596434 is an abundant number, since it is smaller than the sum of its proper divisors (60853584366).

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

46409596434 is a wasteful number, since it uses less digits than its factorization.

46409596434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 46409596434 in words is "forty-six billion, four hundred nine million, five hundred ninety-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 79 94 141 158 211 237 282 422 423 474 633 711 846 1097 1266 1269 1422 1899 2133 2194 2538 3291 3713 3798 4266 5697 6582 7426 9873 9917 11139 11394 16669 19746 19834 22278 29619 29751 33338 33417 50007 51559 59238 59502 66834 86663 89253 100014 100251 103118 150021 154677 173326 178506 200502 231467 259989 267759 300042 309354 450063 462934 464031 519978 535518 694401 779967 783443 900126 928062 1388802 1392093 1559934 1566886 2083203 2339901 2350329 2784186 4073161 4166406 4679802 4700658 6249609 7050987 8146322 10878949 12219483 12499218 14101974 18285893 21152961 21757898 24438966 32636847 36571786 36658449 42305922 54857679 65273694 73316898 97910541 109715358 109975347 164573037 195821082 219950694 293731623 329146074 493719111 587463246 859436971 987438222 1718873942 2578310913 5156621826 7734932739 15469865478 23204798217 46409596434