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2932918604004 = 2232953751211741
BaseRepresentation
bin101010101011011111100…
…100100101000011100100
3101101101101010210021121010
4222223133210211003210
5341023104130312004
610123210400222220
7421616312541024
oct52533744450344
911341333707533
102932918604004
11a30931100034
123b450460a970
1318375ac6b18c
14a1d4db79a84
155145a499a89
hex2aadf9250e4

2932918604004 has 96 divisors (see below), whose sum is σ = 7222672074240. Its totient is φ = 924880320000.

The previous prime is 2932918603991. The next prime is 2932918604029. The reversal of 2932918604004 is 4004068192392.

2932918604004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13745574 + ... + 13957314.

It is an arithmetic number, because the mean of its divisors is an integer number (75236167440).

Almost surely, 22932918604004 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 2932918604004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611336037120).

2932918604004 is an abundant number, since it is smaller than the sum of its proper divisors (4289753470236).

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

2932918604004 is a wasteful number, since it uses less digits than its factorization.

2932918604004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212581 (or 212579 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 2932918604004 in words is "two trillion, nine hundred thirty-two billion, nine hundred eighteen million, six hundred four thousand, four".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 751 1502 1537 2253 3004 3074 4506 4611 6148 9012 9222 18444 21779 39803 43558 65337 79606 87116 119409 130674 159212 211741 238818 261348 423482 477636 635223 846964 1154287 1270446 2308574 2540892 3462861 4617148 6140489 6925722 11222273 12280978 13851444 18421467 22444546 24561956 33666819 36842934 44889092 67333638 73685868 134667276 159017491 318034982 325445917 477052473 636069964 650891834 954104946 976337751 1301783668 1908209892 1952675502 3905351004 4611507239 8427927023 9223014478 13834521717 16855854046 18446028956 25283781069 27669043434 33711708092 50567562138 55338086868 101135124276 244409883667 488819767334 733229651001 977639534668 1466459302002 2932918604004