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338116162380 = 223531331549193
BaseRepresentation
bin1001110101110010100…
…10110011001101001100
31012022201220012200211220
410322321102303031030
521014430214144010
6415154534443340
733266555650233
oct4727122631514
91168656180756
10338116162380
11120437839247
1255642503550
1325b65819049
1412517451b1a
158bddacb970
hex4eb94b334c

338116162380 has 96 divisors (see below), whose sum is σ = 980219025408. Its totient is φ = 86992012800.

The previous prime is 338116162379. The next prime is 338116162409. The reversal of 338116162380 is 83261611833.

It is a super-2 number, since 2×3381161623802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341064 + ... + 890256.

It is an arithmetic number, because the mean of its divisors is an integer number (10210614848).

Almost surely, 2338116162380 is an apocalyptic number.

338116162380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338116162380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490109512704).

338116162380 is an abundant number, since it is smaller than the sum of its proper divisors (642102863028).

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

338116162380 is a wasteful number, since it uses less digits than its factorization.

338116162380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549567 (or 549565 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 338116162380 in words is "three hundred thirty-eight billion, one hundred sixteen million, one hundred sixty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 331 372 465 620 662 930 993 1324 1655 1860 1986 3310 3972 4965 6620 9930 10261 19860 20522 30783 41044 51305 61566 102610 123132 153915 205220 307830 549193 615660 1098386 1647579 2196772 2745965 3295158 5491930 6590316 8237895 10983860 16475790 17024983 32951580 34049966 51074949 68099932 85124915 102149898 170249830 181782883 204299796 255374745 340499660 363565766 510749490 545348649 727131532 908914415 1021498980 1090697298 1817828830 2181394596 2726743245 3635657660 5453486490 5635269373 10906972980 11270538746 16905808119 22541077492 28176346865 33811616238 56352693730 67623232476 84529040595 112705387460 169058081190 338116162380