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10977500380 = 22572111377433
BaseRepresentation
bin10100011100100111…
…10101110011011100
31001100001002210120011
422032103311303130
5134440220003010
65013141533004
7536014133200
oct121623656334
931301083504
1010977500380
114723570570
122164414164
13105c37a572
14761cd4b00
15443ae7a8a
hex28e4f5cdc

10977500380 has 144 divisors (see below), whose sum is σ = 29471825376. Its totient is φ = 3396126720.

The previous prime is 10977500353. The next prime is 10977500381. The reversal of 10977500380 is 8300577901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10977500381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473144 + ... + 1480576.

It is an arithmetic number, because the mean of its divisors is an integer number (204665454).

Almost surely, 210977500380 is an apocalyptic number.

10977500380 is a gapful number since it is divisible by the number (10) 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 10977500380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735912688).

10977500380 is an abundant number, since it is smaller than the sum of its proper divisors (18494324996).

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

10977500380 is a wasteful number, since it uses less digits than its factorization.

10977500380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 10977500380 in words is "ten billion, nine hundred seventy-seven million, five hundred thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 137 140 154 196 220 245 274 308 385 490 539 548 685 770 959 980 1078 1370 1507 1540 1918 2156 2695 2740 3014 3836 4795 5390 6028 6713 7433 7535 9590 10549 10780 13426 14866 15070 19180 21098 26852 29732 30140 33565 37165 42196 52031 52745 67130 73843 74330 81763 104062 105490 134260 147686 148660 163526 208124 210980 260155 295372 327052 364217 369215 408815 520310 572341 728434 738430 817630 1018321 1040620 1144682 1456868 1476860 1635260 1821085 2036642 2289364 2861705 3642170 4006387 4073284 5091605 5723410 7128247 7284340 8012774 10183210 11201531 11446820 14256494 16025548 20031935 20366420 22403062 28512988 35641235 40063870 44806124 49897729 56007655 71282470 78410717 80127740 99795458 112015310 142564940 156821434 199590916 224030620 249488645 313642868 392053585 498977290 548875019 784107170 997954580 1097750038 1568214340 2195500076 2744375095 5488750190 10977500380