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2760834650816 = 2611356932
BaseRepresentation
bin101000001011001110100…
…100011001001011000000
3100202221012022110201010102
4220023032210121023000
5330213142132311231
65512150540021532
7403315025221424
oct50131644311300
910687168421112
102760834650816
11974955205000
12387099b318a8
131704653541c8
14978a7432b84
154bc37c06acb
hex282ce9192c0

2760834650816 has 84 divisors (see below), whose sum is σ = 6027031450104. Its totient is φ = 1254704408320.

The previous prime is 2760834650771. The next prime is 2760834650837. The reversal of 2760834650816 is 6180564380672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484949666 + ... + 484955358.

It is an arithmetic number, because the mean of its divisors is an integer number (71750374406).

Almost surely, 22760834650816 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 2760834650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013515725052).

2760834650816 is an abundant number, since it is smaller than the sum of its proper divisors (3266196799288).

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

2760834650816 is an frugal number, since it uses more digits than its factorization.

2760834650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 2760834650816 in words is "two trillion, seven hundred sixty billion, eight hundred thirty-four million, six hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1936 2662 3872 5324 5693 7744 10648 11386 21296 22772 42592 45544 62623 85184 91088 125246 182176 250492 364352 500984 688853 1001968 1377706 2003936 2755412 4007872 5510824 7577383 11021648 15154766 22043296 30309532 32410249 44086592 60619064 64820498 121238128 129640996 242476256 259281992 356512739 484952512 518563984 713025478 1037127968 1426050956 2074255936 2852101912 3921640129 5704203824 7843280258 11408407648 15686560516 22816815296 31373121032 43138041419 62746242064 86276082838 125492484128 172552165676 250984968256 345104331352 690208662704 1380417325408 2760834650816