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379826746303968 = 25329531383885487
BaseRepresentation
bin101011001011100110100111…
…0010010100010010111100000
31211210212002020000101221111100
41112113031032102202113200
5344241040134023211333
63423453555352514400
7143001401566522125
oct12627151622422740
91753762200357440
10379826746303968
1110002a689253507
1236724b749aba00
13133c267c1c0922
1469b19d958c74c
152dda272e94213
hex159734e4a25e0

379826746303968 has 72 divisors (see below), whose sum is σ = 1081265712797088. Its totient is φ = 126476062336512.

The previous prime is 379826746303957. The next prime is 379826746303973. The reversal of 379826746303968 is 869303647628973.

379826746303968 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 2 + 67 + 463 + 0 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691668280 + ... + 692217207.

It is an arithmetic number, because the mean of its divisors is an integer number (15017579344404).

Almost surely, 2379826746303968 is an apocalyptic number.

It is an amenable number.

379826746303968 is an abundant number, since it is smaller than the sum of its proper divisors (701438966493120).

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

379826746303968 is a wasteful number, since it uses less digits than its factorization.

379826746303968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383886456 (or 1383886445 counting only the distinct ones).

The product of its (nonzero) digits is 11851370496, while the sum is 81.

The spelling of 379826746303968 in words is "three hundred seventy-nine trillion, eight hundred twenty-six billion, seven hundred forty-six million, three hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 953 1906 2859 3812 5718 7624 8577 11436 15248 17154 22872 30496 34308 45744 68616 91488 137232 274464 1383885487 2767770974 4151656461 5535541948 8303312922 11071083896 12454969383 16606625844 22142167792 24909938766 33213251688 44284335584 49819877532 66426503376 99639755064 132853006752 199279510128 398559020256 1318842869111 2637685738222 3956528607333 5275371476444 7913057214666 10550742952888 11869585821999 15826114429332 21101485905776 23739171643998 31652228858664 42202971811552 47478343287996 63304457717328 94956686575992 126608915434656 189913373151984 379826746303968