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4034993680768 = 27378310264861
BaseRepresentation
bin111010101101111000010…
…111010111000110000000
3112021202000122110212111211
4322231320113113012000
51012102131340241033
612325352302015504
7564342622250041
oct72557027270600
915252018425454
104034993680768
11131625a8169a6
12552013277594
1323366291900b
14dd41aa828c8
156ee5d1dd2cd
hex3ab785d7180

4034993680768 has 64 divisors (see below), whose sum is σ = 8355187073520. Its totient is φ = 1939319470080.

The previous prime is 4034993680763. The next prime is 4034993680771. The reversal of 4034993680768 is 8670863994304.

4034993680768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034993680763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4739343 + ... + 5525518.

Almost surely, 24034993680768 is an apocalyptic number.

It is an amenable number.

4034993680768 is an abundant number, since it is smaller than the sum of its proper divisors (4320193392752).

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

4034993680768 is a wasteful number, since it uses less digits than its factorization.

4034993680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264995 (or 10264983 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 67.

The spelling of 4034993680768 in words is "four trillion, thirty-four billion, nine hundred ninety-three million, six hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 83 128 148 166 296 332 592 664 1184 1328 2368 2656 3071 4736 5312 6142 10624 12284 24568 49136 98272 196544 393088 10264861 20529722 41059444 82118888 164237776 328475552 379799857 656951104 759599714 851983463 1313902208 1519199428 1703966926 3038398856 3407933852 6076797712 6815867704 12153595424 13631735408 24307190848 27263470816 31523388131 48614381696 54526941632 63046776262 109053883264 126093552524 252187105048 504374210096 1008748420192 2017496840384 4034993680768