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2671711057912 = 23132323318112647
BaseRepresentation
bin100110111000001110011…
…000110111011111111000
3100110102011010201002112011
4212320032120313133320
5322233131012323122
65403211144055304
7364011330201541
oct46701630673770
910412133632464
102671711057912
119400802715a6
12371966764534
13164c30c87a10
1493450aad4c8
154976d796377
hex26e0e6377f8

2671711057912 has 128 divisors (see below), whose sum is σ = 5658776847360. Its totient is φ = 1173330385920.

The previous prime is 2671711057909. The next prime is 2671711057919. The reversal of 2671711057912 is 2197501171762.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671711057919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009334173 + ... + 1009336819.

It is an arithmetic number, because the mean of its divisors is an integer number (44209194120).

Almost surely, 22671711057912 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 2671711057912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829388423680).

2671711057912 is an abundant number, since it is smaller than the sum of its proper divisors (2987065789448).

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

2671711057912 is a wasteful number, since it uses less digits than its factorization.

2671711057912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 49.

The spelling of 2671711057912 in words is "two trillion, six hundred seventy-one billion, seven hundred eleven million, fifty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 233 299 466 598 932 1196 1811 1864 2392 2647 3029 3622 5294 5359 6058 7244 10588 10718 12116 14488 21176 21436 23543 24232 34411 41653 42872 47086 60881 68822 69667 83306 94172 121762 137644 139334 166612 188344 243524 275288 278668 333224 421963 487048 541489 557336 616751 791453 843926 1082978 1233502 1582906 1687852 2165956 2467004 3165812 3375704 4331912 4793717 4934008 5485519 6331624 8017763 9587434 9705149 10971038 14185273 16035526 19174868 19410298 21942076 28370546 32071052 38349736 38820596 43884152 56741092 62318321 64142104 77641192 110255491 113482184 124636642 126166937 184408549 220510982 249273284 252333874 368817098 441021964 498546568 504667748 737634196 882043928 1009335496 1116936061 1433321383 1475268392 2233872122 2866642766 4467744244 5733285532 8935488488 11466571064 14520168793 25689529403 29040337586 51379058806 58080675172 102758117612 116161350344 205516235224 333963882239 667927764478 1335855528956 2671711057912