Search a number
-
+
642694627248 = 24341944971171
BaseRepresentation
bin10010101101000111001…
…01011011111110110000
32021102220111022211122220
421112203211123332300
541012214311032443
61211125544201040
764301400123642
oct11264345337660
92242814284586
10642694627248
112286243a8a03
12a4685169180
13487b5064b5b
142316c686892
1511ab81c7a83
hex95a395bfb0

642694627248 has 80 divisors (see below), whose sum is σ = 1667986992000. Its totient is φ = 213241262080.

The previous prime is 642694627207. The next prime is 642694627277. The reversal of 642694627248 is 842726496246.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 642694627191 and 642694627200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8994703 + ... + 9065873.

It is an arithmetic number, because the mean of its divisors is an integer number (20849837400).

Almost surely, 2642694627248 is an apocalyptic number.

It is an amenable number.

642694627248 is an abundant number, since it is smaller than the sum of its proper divisors (1025292364752).

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

642694627248 is a wasteful number, since it uses less digits than its factorization.

642694627248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72050 (or 72044 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 642694627248 in words is "six hundred forty-two billion, six hundred ninety-four million, six hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 419 449 838 898 1257 1347 1676 1796 2514 2694 3352 3592 5028 5388 6704 7184 10056 10776 20112 21552 71171 142342 188131 213513 284684 376262 427026 564393 569368 752524 854052 1128786 1138736 1505048 1708104 2257572 3010096 3416208 4515144 9030288 29820649 31955779 59641298 63911558 89461947 95867337 119282596 127823116 178923894 191734674 238565192 255646232 357847788 383469348 477130384 511292464 715695576 766938696 1431391152 1533877392 13389471401 26778942802 40168414203 53557885604 80336828406 107115771208 160673656812 214231542416 321347313624 642694627248