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52338052294332 = 22371634139923539
BaseRepresentation
bin10111110011001111001110…
…00000111110011010111100
320212022110122212000222110120
423321213213000332122330
523330001312341404312
6303151434100134540
714011204504132260
oct1371474700763274
9225273585028416
1052338052294332
1115749497085102
125a5356b997450
1323285c34a092c
14ccd264c420a0
1560b675d0028c
hex2f99e703e6bc

52338052294332 has 96 divisors (see below), whose sum is σ = 140458464921600. Its totient is φ = 14858381748672.

The previous prime is 52338052294321. The next prime is 52338052294343. The reversal of 52338052294332 is 23349225083325.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52338052294321) and next prime (52338052294343).

It is a super-2 number, since 2×523380522943322 (a number of 28 digits) contains 22 as substring.

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, 56209419 + ... + 57132957.

It is an arithmetic number, because the mean of its divisors is an integer number (1463109009600).

Almost surely, 252338052294332 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 52338052294332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70229232460800).

52338052294332 is an abundant number, since it is smaller than the sum of its proper divisors (88120412627268).

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

52338052294332 is a wasteful number, since it uses less digits than its factorization.

52338052294332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927855 (or 927853 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 52338052294332 in words is "fifty-two trillion, three hundred thirty-eight billion, fifty-two million, two hundred ninety-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4139 4564 6846 8278 12417 13692 16556 24834 28973 49668 57946 86919 115892 173838 347676 674657 923539 1349314 1847078 2023971 2698628 2770617 3694156 4047942 4722599 5541234 6464773 8095884 9445198 11082468 12929546 14167797 18890396 19394319 25859092 28335594 38788638 56671188 77577276 150536857 301073714 451610571 602147428 903221142 1053757999 1806442284 2107515998 3161273997 3822527921 4215031996 6322547994 7645055842 11467583763 12645095988 15290111684 22935167526 26757695447 45870335052 53515390894 80273086341 107030781788 160546172682 321092345364 623072051123 1246144102246 1869216153369 2492288204492 3738432306738 4361504357861 7476864613476 8723008715722 13084513073583 17446017431444 26169026147166 52338052294332