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7311399987164 = 2273131033139679
BaseRepresentation
bin110101001100101000101…
…1001100010011111011100
3221212222000000222100121012
41222121101121202133130
51424242221344042124
623314451043554352
71353142210325000
oct152312131423734
927788000870535
107311399987164
112369824759739
129a0bb908b9b8
134106011ba370
141b3c33408700
15ca2bdb0be0e
hex6a6516627dc

7311399987164 has 96 divisors (see below), whose sum is σ = 16070971392000. Its totient is φ = 2892069109440.

The previous prime is 7311399987161. The next prime is 7311399987167. The reversal of 7311399987164 is 4617899931137.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7311399987161) and next prime (7311399987167).

It is a junction number, because it is equal to n+sod(n) for n = 7311399987094 and 7311399987103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7311399987161) 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, 184243877 + ... + 184283555.

It is an arithmetic number, because the mean of its divisors is an integer number (167405952000).

Almost surely, 27311399987164 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 7311399987164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035485696000).

7311399987164 is an abundant number, since it is smaller than the sum of its proper divisors (8759571404836).

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

7311399987164 is a wasteful number, since it uses less digits than its factorization.

7311399987164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50048 (or 50032 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 68.

The spelling of 7311399987164 in words is "seven trillion, three hundred eleven billion, three hundred ninety-nine million, nine hundred eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2548 4459 8918 10331 17836 20662 39679 41324 72317 79358 134303 144634 158716 268606 277753 289268 506219 515827 537212 555506 940121 1012438 1031654 1111012 1880242 1944271 2024876 2063308 3543533 3610789 3760484 3888542 6580847 7087066 7221578 7777084 13161694 13609897 14174132 14443156 25275523 26323388 27219794 46065929 50551046 54439588 92131858 101102092 176928661 184263716 353857322 409923749 707714644 819847498 1639694996 2869466243 5329008737 5738932486 10658017474 11477864972 20086263701 21316034948 37303061159 40172527402 74606122318 80345054804 140603845907 149212244636 261121428113 281207691814 522242856226 562415383628 1044485712452 1827849996791 3655699993582 7311399987164