Search a number
-
+
734252136890820 = 223568833311353693
BaseRepresentation
bin1010011011110011000110010…
…1110010111000000111000100
310120021202211002212122022122220
42212330301211302320013010
51232214441334021001240
611121342435225052340
7310441652303260152
oct24674614562700704
93507684085568586
10734252136890820
111a2a566453a7759
126a426b970270b0
13256918aa882852
14cd45dc8cac3d2
1559d48b2e3d5d0
hex29bcc65cb81c4

734252136890820 has 96 divisors (see below), whose sum is σ = 2056305069931392. Its totient is φ = 195762564584448.

The previous prime is 734252136890819. The next prime is 734252136890827. The reversal of 734252136890820 is 28098631252437.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (734252136890827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13674979894 + ... + 13675033586.

It is an arithmetic number, because the mean of its divisors is an integer number (21419844478452).

It is a 1-persistent number, because it is pandigital, but 2⋅734252136890820 = 1468504273781640 is not.

Almost surely, 2734252136890820 is an apocalyptic number.

It is an amenable number.

734252136890820 is an abundant number, since it is smaller than the sum of its proper divisors (1322052933040572).

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

734252136890820 is a wasteful number, since it uses less digits than its factorization.

734252136890820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93701 (or 93699 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 734252136890820 in words is "seven hundred thirty-four trillion, two hundred fifty-two billion, one hundred thirty-six million, eight hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6883 13766 20649 27532 33113 34415 41298 53693 66226 68830 82596 99339 103245 107386 132452 137660 161079 165565 198678 206490 214772 268465 322158 331130 397356 412980 496695 536930 644316 662260 805395 993390 1073860 1610790 1986780 3221580 227916779 369568919 455833558 683750337 739137838 911667116 1108706757 1139583895 1367500674 1478275676 1777936309 1847844595 2217413514 2279167790 2735001348 3418751685 3555872618 3695689190 4434827028 4558335580 5333808927 5543533785 6837503370 7111745236 7391378380 8889681545 10667617854 11087067570 13675006740 17779363090 21335235708 22174135140 26669044635 35558726180 53338089270 106676178540 12237535614847 24475071229694 36712606844541 48950142459388 61187678074235 73425213689082 122375356148470 146850427378164 183563034222705 244750712296940 367126068445410 734252136890820