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1377064950 = 235231241233
BaseRepresentation
bin101001000010100…
…0101011111110110
310112222012010222120
41102011011133312
510310012034300
6344351140410
746060600422
oct12205053766
93488163876
101377064950
11647354308
12325214706
1318c3ab441
14d0c61b82
1580d643a0
hex521457f6

1377064950 has 144 divisors (see below), whose sum is σ = 3630423888. Its totient is φ = 345216000.

The previous prime is 1377064939. The next prime is 1377064967. The reversal of 1377064950 is 594607731.

It is a super-3 number, since 3×13770649503 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5910034 + ... + 5910266.

It is an arithmetic number, because the mean of its divisors is an integer number (25211277).

Almost surely, 21377064950 is an apocalyptic number.

1377064950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377064950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815211944).

1377064950 is an abundant number, since it is smaller than the sum of its proper divisors (2253358938).

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

1377064950 is a wasteful number, since it uses less digits than its factorization.

1377064950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1377064950 is about 37108.8257696198. The cubic root of 1377064950 is about 1112.5464223359.

The spelling of 1377064950 in words is "one billion, three hundred seventy-seven million, sixty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 41 50 62 75 82 93 123 150 155 186 205 233 246 310 410 465 466 615 699 775 930 961 1025 1165 1230 1271 1398 1550 1922 2050 2325 2330 2542 2883 3075 3495 3813 4650 4805 5766 5825 6150 6355 6990 7223 7626 9553 9610 11650 12710 14415 14446 17475 19065 19106 21669 24025 28659 28830 31775 34950 36115 38130 39401 43338 47765 48050 57318 63550 72075 72230 78802 95325 95530 108345 118203 143295 144150 180575 190650 197005 216690 223913 236406 238825 286590 296143 361150 394010 447826 477650 541725 591015 592286 671739 716475 888429 985025 1083450 1119565 1182030 1343478 1432950 1480715 1776858 1970050 2239130 2955075 2961430 3358695 4442145 5597825 5910150 6717390 7403575 8884290 9180433 11195650 14807150 16793475 18360866 22210725 27541299 33586950 44421450 45902165 55082598 91804330 137706495 229510825 275412990 459021650 688532475 1377064950