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2920333139952 = 2431997115328631
BaseRepresentation
bin101010011111110001011…
…010110101111111110000
3101100011220001000110112220
4222133301122311333300
5340321320240434302
610113325454121040
7420662402056014
oct52376132657760
911304801013486
102920333139952
11a26562a19678
123b1b917b0180
1318250372a127
14a14b84ba544
1550e7062d4bc
hex2a7f16b5ff0

2920333139952 has 160 divisors (see below), whose sum is σ = 8030364357120. Its totient is φ = 911879700480.

The previous prime is 2920333139923. The next prime is 2920333139981. The reversal of 2920333139952 is 2599313330292.

It is an interprime number because it is at equal distance from previous prime (2920333139923) and next prime (2920333139981).

It is a junction number, because it is equal to n+sod(n) for n = 2920333139895 and 2920333139904.

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, 101984677 + ... + 102013307.

It is an arithmetic number, because the mean of its divisors is an integer number (50189777232).

Almost surely, 22920333139952 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 2920333139952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015182178560).

2920333139952 is an abundant number, since it is smaller than the sum of its proper divisors (5110031217168).

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

2920333139952 is a wasteful number, since it uses less digits than its factorization.

2920333139952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29911 (or 29905 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 51.

The spelling of 2920333139952 in words is "two trillion, nine hundred twenty billion, three hundred thirty-three million, one hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1153 1164 1552 1843 2306 2328 3459 3686 4612 4656 5529 6918 7372 9224 11058 13836 14744 18448 21907 22116 27672 28631 29488 43814 44232 55344 57262 65721 85893 87628 88464 111841 114524 131442 171786 175256 223682 229048 262884 335523 343572 350512 447364 458096 525768 543989 671046 687144 894728 1051536 1087978 1342092 1374288 1631967 1789456 2124979 2175956 2684184 2777207 3263934 4249958 4351912 5368368 5554414 6374937 6527868 8331621 8499916 8703824 11108828 12749874 13055736 16663242 16999832 22217656 25499748 26111472 33011543 33326484 33999664 44435312 50999496 52766933 66023086 66652968 99034629 101998992 105533866 132046172 133305936 158300799 198069258 211067732 264092344 316601598 396138516 422135464 528184688 627219317 633203196 792277032 844270928 1254438634 1266406392 1584554064 1881657951 2508877268 2532812784 3202119671 3763315902 5017754536 6404239342 7526631804 9606359013 10035509072 12808478684 15053263608 19212718026 25616957368 30106527216 38425436052 51233914736 60840273749 76850872104 121680547498 153701744208 182520821247 243361094996 365041642494 486722189992 730083284988 973444379984 1460166569976 2920333139952