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1620793794816 = 2836724212
BaseRepresentation
bin10111100101011110110…
…101101010000100000000
312201221112220110201000000
4113211132311222010000
5203023341202413231
63240325444000000
7225045531641400
oct27453665520400
95657486421000
101620793794816
11575413930289
12222154690000
13b9abcbc0341
14586381a4800
152c261d9d6e6
hex1795ed6a100

1620793794816 has 567 divisors, whose sum is σ = 5656045689693. Its totient is φ = 461983979520.

The previous prime is 1620793794761. The next prime is 1620793794833. The reversal of 1620793794816 is 6184973970261.

The square root of 1620793794816 is 1273104.

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

1620793794816 is a `hidden beast` number, since 1 + 6 + 207 + 9 + 379 + 48 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7690588416 + 1613103206400 = 87696^2 + 1270080^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3849866286 + ... + 3849866706.

Almost surely, 21620793794816 is an apocalyptic number.

1620793794816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1620793794816 is the 1273104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1620793794816

1620793794816 is an abundant number, since it is smaller than the sum of its proper divisors (4035251894877).

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

1620793794816 is an frugal number, since it uses more digits than its factorization.

1620793794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1620793794816 in words is "one trillion, six hundred twenty billion, seven hundred ninety-three million, seven hundred ninety-four thousand, eight hundred sixteen".