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3529978164 = 223389443829
BaseRepresentation
bin1101001001100111…
…0011000100110100
3100010000021110201000
43102121303010310
524212133300124
61342135403300
7153322214346
oct32231630464
910100243630
103529978164
111551642929
12826223530
1344343469b
14256b63296
15159d7e6c9
hexd2673134

3529978164 has 96 divisors (see below), whose sum is σ = 9286704000. Its totient is φ = 1159411968.

The previous prime is 3529978163. The next prime is 3529978171. The reversal of 3529978164 is 4618799253.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3529978164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3529978163) 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, 4257702 + ... + 4258530.

It is an arithmetic number, because the mean of its divisors is an integer number (96736500).

Almost surely, 23529978164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3529978164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643352000).

3529978164 is an abundant number, since it is smaller than the sum of its proper divisors (5756725836).

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

3529978164 is a wasteful number, since it uses less digits than its factorization.

3529978164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3529978164 is about 59413.6193477556. The cubic root of 3529978164 is about 1522.6169950619.

The spelling of 3529978164 in words is "three billion, five hundred twenty-nine million, nine hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 443 534 801 829 886 1068 1329 1602 1658 1772 2403 2487 2658 3204 3316 3987 4806 4974 5316 7461 7974 9612 9948 11961 14922 15948 22383 23922 29844 39427 44766 47844 73781 78854 89532 118281 147562 157708 221343 236562 295124 354843 367247 442686 473124 664029 709686 734494 885372 1064529 1101741 1328058 1419372 1468988 1992087 2129058 2203482 2656116 3305223 3984174 4258116 4406964 6610446 7968348 9915669 13220892 19831338 32684983 39662676 65369966 98054949 130739932 196109898 294164847 392219796 588329694 882494541 1176659388 1764989082 3529978164