Search a number
-
+
9070101978921 = 38371812
BaseRepresentation
bin1000001111111100110000…
…1101001101111100101001
31012010002112000001100000000
42003333030031031330221
52142101032101311141
631142425231133213
71624202403521454
oct203771415157451
935102460040000
109070101978921
1129876771234a5
121025a1a974209
1350a3cb4917a9
14234dd108649b
1510ae02c335b6
hex83fcc34df29

9070101978921 has 27 divisors (see below), whose sum is σ = 13604827663063. Its totient is φ = 6046572022920.

The previous prime is 9070101978911. The next prime is 9070101978947. The reversal of 9070101978921 is 1298791010709.

The square root of 9070101978921 is 3011661.

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

It can be written as a sum of positive squares in only one way, i.e., 2789364279321 + 6280737699600 = 1670139^2 + 2506140^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 9070101978921 - 219 = 9070101454633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9070101978911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243925951 + ... + 243963131.

Almost surely, 29070101978921 is an apocalyptic number.

9070101978921 is the 3011661-st square number.

9070101978921 is the 1505831-st centered octagonal number.

It is an amenable number.

9070101978921 is a deficient number, since it is larger than the sum of its proper divisors (4534725684142).

9070101978921 is an frugal number, since it uses more digits than its factorization.

9070101978921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74386 (or 37184 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 54.

The spelling of 9070101978921 in words is "nine trillion, seventy billion, one hundred one million, nine hundred seventy-eight thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 37181 111543 334629 1003887 3011661 9034983 27104949 81314847 243944541 1382426761 4147280283 12441840849 37325522547 111976567641 335929702923 1007789108769 3023367326307 9070101978921