Search a number
-
+
3379118944644 = 223231298832
BaseRepresentation
bin110001001011000011001…
…011110011000110000100
3102222001002121110010110100
4301023003023303012010
5420330413422212034
611104202410124100
7466063501054512
oct61130313630604
912861077403410
103379118944644
111093092607133
12466a90120630
131b685a0a0b91
14b979bb894b2
155cd72d88099
hex312c32f3184

3379118944644 has 81 divisors (see below), whose sum is σ = 8826980706999. Its totient is φ = 1089928074960.

The previous prime is 3379118944627. The next prime is 3379118944667. The reversal of 3379118944644 is 4464498119733.

The square root of 3379118944644 is 1838238.

It is a perfect power (a square), and thus also a powerful number.

3379118944644 is a `hidden beast` number, since 3 + 3 + 7 + 9 + 1 + 189 + 446 + 4 + 4 = 666.

It is a super-2 number, since 2×33791189446442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341907327 + ... + 341917209.

Almost surely, 23379118944644 is an apocalyptic number.

3379118944644 is the 1838238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379118944644

3379118944644 is an abundant number, since it is smaller than the sum of its proper divisors (5447861762355).

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

3379118944644 is an frugal number, since it uses more digits than its factorization.

3379118944644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19838 (or 9919 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 3379118944644 in words is "three trillion, three hundred seventy-nine billion, one hundred eighteen million, nine hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 9883 11532 17298 19766 29649 34596 39532 59298 88947 118596 177894 306373 355788 612746 919119 1225492 1838238 2757357 3676476 5514714 9497563 11029428 18995126 28492689 37990252 56985378 85478067 97673689 113970756 170956134 195347378 293021067 341912268 390694756 586042134 879063201 1172084268 1758126402 3027884359 3516252804 6055768718 9083653077 12111537436 18167306154 27250959231 36334612308 54501918462 93864415129 109003836924 187728830258 281593245387 375457660516 563186490774 844779736161 1126372981548 1689559472322 3379118944644