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40010546646 = 234767717417
BaseRepresentation
bin100101010000110100…
…000111110111010110
310211021101220100210000
4211100310013313112
51123420144443041
630214112512130
72614333015020
oct452064076726
9124241810700
1040010546646
1115a71a01984
12790754b646
133a08305b95
141d17b55010
1510928bbbb6
hex950d07dd6

40010546646 has 160 divisors (see below), whose sum is σ = 105469005312. Its totient is φ = 11100862080.

The previous prime is 40010546633. The next prime is 40010546651. The reversal of 40010546646 is 64664501004.

40010546646 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 0 + 5 + 4 + 6 + 646 = 666.

40010546646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40010546646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5390730 + ... + 5398146.

Almost surely, 240010546646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40010546646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52734502656).

40010546646 is an abundant number, since it is smaller than the sum of its proper divisors (65458458666).

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

40010546646 is a wasteful number, since it uses less digits than its factorization.

40010546646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40010546646 in words is "forty billion, ten million, five hundred forty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 71 81 126 134 142 162 189 201 213 378 402 426 469 497 567 603 639 938 994 1134 1206 1278 1407 1491 1809 1917 2814 2982 3618 3834 4221 4473 4757 5427 5751 7417 8442 8946 9514 10854 11502 12663 13419 14271 14834 22251 25326 26838 28542 33299 37989 40257 42813 44502 51919 66598 66753 75978 80514 85626 99897 103838 128439 133506 155757 199794 200259 256878 299691 311514 385317 400518 467271 496939 526607 599382 600777 770634 899073 934542 993878 1053214 1201554 1401813 1490817 1579821 1798146 2697219 2803626 2981634 3159642 3478573 3686249 4205439 4472451 4739463 5394438 6957146 7372498 8410878 8944902 9478926 10435719 11058747 13417353 14218389 20871438 22117494 26834706 28436778 31307157 33176241 35282669 40252059 42655167 62614314 66352482 70565338 80504118 85310334 93921471 99528723 105848007 187842942 199057446 211696014 246978683 281764413 298586169 317544021 493957366 563528826 597172338 635088042 740936049 952632063 1481872098 1905264126 2222808147 2857896189 4445616294 5715792378 6668424441 13336848882 20005273323 40010546646