Search a number
-
+
744545609920 = 26573110722143
BaseRepresentation
bin10101101010110100110…
…00000110100011000000
32122011210122220211210101
422311122120012203000
544144312134004140
61330012312212144
7104535351156250
oct12653230064300
92564718824711
10744545609920
1126783a64a752
1210036a99a054
13552971a50c8
1428071491960
1514579b8b99a
hexad5a6068c0

744545609920 has 112 divisors (see below), whose sum is σ = 2091590074368. Its totient is φ = 247038151680.

The previous prime is 744545609891. The next prime is 744545609923. The reversal of 744545609920 is 29906545447.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7445456099202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (744545609923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5291632 + ... + 5430511.

Almost surely, 2744545609920 is an apocalyptic number.

744545609920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

744545609920 is an abundant number, since it is smaller than the sum of its proper divisors (1347044464448).

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

744545609920 is a wasteful number, since it uses less digits than its factorization.

744545609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722198 (or 10722188 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 744545609920 in words is "seven hundred forty-four billion, five hundred forty-five million, six hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 34720 69440 10722143 21444286 42888572 53610715 75055001 85777144 107221430 150110002 171554288 214442860 300220004 332386433 343108576 375275005 428885720 600440008 664772866 686217152 750550010 857771440 1200880016 1329545732 1501100020 1661932165 1715542880 2326705031 2401760032 2659091464 3002200040 3323864330 3431085760 4653410062 4803520064 5318182928 6004400080 6647728660 9306820124 10636365856 11633525155 12008800160 13295457320 18613640248 21272731712 23267050310 24017600320 26590914640 37227280496 46534100620 53181829280 74454560992 93068201240 106363658560 148909121984 186136402480 372272804960 744545609920