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6977345490 = 23251920112029
BaseRepresentation
bin1100111111110000…
…11101011111010010
3200000021002212122100
412133320131133102
5103242200023430
63112204421230
7334622313063
oct63770353722
920007085570
106977345490
112a60590a35
121428847816
138727034cb
144a294056a
152ac841960
hex19fe1d7d2

6977345490 has 96 divisors (see below), whose sum is σ = 19114804800. Its totient is φ = 1760952960.

The previous prime is 6977345489. The next prime is 6977345497. The reversal of 6977345490 is 945437796.

It is a happy number.

6977345490 is a `hidden beast` number, since 6 + 97 + 7 + 3 + 4 + 549 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6977345497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3437796 + ... + 3439824.

It is an arithmetic number, because the mean of its divisors is an integer number (199112550).

Almost surely, 26977345490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6977345490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557402400).

6977345490 is an abundant number, since it is smaller than the sum of its proper divisors (12137459310).

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

6977345490 is a wasteful number, since it uses less digits than its factorization.

6977345490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 6977345490 is about 83530.5063434911. The cubic root of 6977345490 is about 1910.8653087873.

The spelling of 6977345490 in words is "six billion, nine hundred seventy-seven million, three hundred forty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2011 2029 4022 4058 6033 6087 10055 10145 12066 12174 18099 18261 20110 20290 30165 30435 36198 36522 38209 38551 60330 60870 76418 77102 90495 91305 114627 115653 180990 182610 191045 192755 229254 231306 343881 346959 382090 385510 573135 578265 687762 693918 1146270 1156530 1719405 1734795 3438810 3469590 4080319 8160638 12240957 20401595 24481914 36722871 40803190 61204785 73445742 77526061 122409570 155052122 183614355 232578183 367228710 387630305 465156366 697734549 775260610 1162890915 1395469098 2325781830 3488672745 6977345490