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46820113334456 = 23711115177578513
BaseRepresentation
bin10101010010101001010000…
…01110010100000010111000
320010202221220012101120002112
422221110220032110002320
522114100043003200311
6243324510234151452
712601433024634050
oct1251245016240270
9203687805346075
1046820113334456
1113a1133141a080
125302075282588
13201816b8b0857
14b7c1699b8560
15562d72b4d28b
hex2a95283940b8

46820113334456 has 128 divisors (see below), whose sum is σ = 109571698114560. Its totient is φ = 18221263872000.

The previous prime is 46820113334341. The next prime is 46820113334461. The reversal of 46820113334456 is 65443331102864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5499832856 + ... + 5499841368.

It is an arithmetic number, because the mean of its divisors is an integer number (856028891520).

Almost surely, 246820113334456 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 46820113334456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54785849057280).

46820113334456 is an abundant number, since it is smaller than the sum of its proper divisors (62751584780104).

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

46820113334456 is a wasteful number, since it uses less digits than its factorization.

46820113334456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17445 (or 17441 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 50.

The spelling of 46820113334456 in words is "forty-six trillion, eight hundred twenty billion, one hundred thirteen million, three hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1151 2302 4604 7757 8057 8513 9208 12661 15514 16114 17026 25322 31028 32228 34052 50644 54299 59591 62056 64456 68104 85327 88627 93643 101288 108598 119182 170654 177254 187286 217196 238364 341308 354508 374572 434392 476728 597289 655501 682616 709016 749144 1194578 1311002 2389156 2622004 4778312 5244008 8928307 9798463 17856614 19596926 35713228 39193852 62498149 66035341 68589241 71426456 78387704 98211377 107783093 124996298 132070682 137178482 196422754 215566186 249992596 264141364 274356964 392845508 431132372 462247387 499985192 528282728 548713928 687479639 726388751 754481651 785691016 862264744 924494774 1374959278 1452777502 1508963302 1848989548 2749918556 2905555004 3017926604 3697979096 5084721257 5499837112 5811110008 6035853208 10169442514 20338885028 40677770056 76006677491 152013354982 304026709964 532046742437 608053419928 836073452401 1064093484874 1672146904802 2128186969748 3344293809604 4256373939496 5852514166807 6688587619208 11705028333614 23410056667228 46820113334456