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1448977829768 = 237229311284171
BaseRepresentation
bin10101000101011101110…
…011110000111110001000
312010112001202102100010222
4111011131303300332020
5142220001311023033
63025352355325212
7206454010223450
oct25053563607610
95115052370128
101448977829768
11509565234757
121b49a38b0808
13a683a976531
14501b929ad60
1527a57de4598
hex1515dcf0f88

1448977829768 has 32 divisors (see below), whose sum is σ = 3106306868160. Its totient is φ = 620719623360.

The previous prime is 1448977829723. The next prime is 1448977829801. The reversal of 1448977829768 is 8679287798441.

It is a junction number, because it is equal to n+sod(n) for n = 1448977829692 and 1448977829701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5513678 + ... + 5770493.

It is an arithmetic number, because the mean of its divisors is an integer number (97072089630).

Almost surely, 21448977829768 is an apocalyptic number.

It is an amenable number.

1448977829768 is an abundant number, since it is smaller than the sum of its proper divisors (1657329038392).

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

1448977829768 is a wasteful number, since it uses less digits than its factorization.

1448977829768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286477 (or 11286473 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 80.

The spelling of 1448977829768 in words is "one trillion, four hundred forty-eight billion, nine hundred seventy-seven million, eight hundred twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 2293 4586 9172 16051 18344 32102 64204 128408 11284171 22568342 45136684 78989197 90273368 157978394 315956788 631913576 25874604103 51749208206 103498416412 181122228721 206996832824 362244457442 724488914884 1448977829768