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66754023424 = 2121123672
BaseRepresentation
bin111110001010110110…
…011001000000000000
320101022012110202002221
4332022312121000000
52043203012222144
650355534220424
74552140560044
oct761266310000
9211265422087
1066754023424
11263459a6900
1210b2b954714
1363aaacbb5a
1433338a0024
151b0a67ed84
hexf8ad99000

66754023424 has 117 divisors (see below), whose sum is σ = 147131500971. Its totient is φ = 30260060160.

The previous prime is 66754023419. The next prime is 66754023443. The reversal of 66754023424 is 42432045766.

The square root of 66754023424 is 258368.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181890889 + ... + 181891255.

Almost surely, 266754023424 is an apocalyptic number.

66754023424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66754023424 is the 258368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66754023424

66754023424 is an abundant number, since it is smaller than the sum of its proper divisors (80377477547).

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

66754023424 is an frugal number, since it uses more digits than its factorization.

66754023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 66754023424 in words is "sixty-six billion, seven hundred fifty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 367 484 512 704 734 968 1024 1408 1468 1936 2048 2816 2936 3872 4037 4096 5632 5872 7744 8074 11264 11744 15488 16148 22528 23488 30976 32296 44407 45056 46976 61952 64592 88814 93952 123904 129184 134689 177628 187904 247808 258368 269378 355256 375808 495616 516736 538756 710512 751616 1033472 1077512 1421024 1481579 1503232 2066944 2155024 2842048 2963158 4133888 4310048 5684096 5926316 8267776 8620096 11368192 11852632 16297369 16535552 17240192 22736384 23705264 32594738 34480384 45472768 47410528 65189476 68960768 90945536 94821056 130378952 137921536 181891072 189642112 260757904 275843072 379284224 521515808 551686144 758568448 1043031616 1517136896 2086063232 3034273792 4172126464 6068547584 8344252928 16688505856 33377011712 66754023424