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11374777080 = 2333579133319
BaseRepresentation
bin10101001011111110…
…10101001011111000
31002100201122112202000
422211333111023320
5141243420331310
65120412541000
7551610003252
oct124577251370
932321575660
1011374777080
114907846417
122255481760
1310c3777434
1479c98acd2
1546891e4c0
hex2a5fd52f8

11374777080 has 128 divisors (see below), whose sum is σ = 38396160000. Its totient is φ = 2994855552.

The previous prime is 11374776977. The next prime is 11374777093. The reversal of 11374777080 is 8077747311.

11374777080 is a `hidden beast` number, since 1 + 1 + 37 + 477 + 70 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 18661 + ... + 151979.

It is an arithmetic number, because the mean of its divisors is an integer number (299970000).

Almost surely, 211374777080 is an apocalyptic number.

11374777080 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 11374777080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19198080000).

11374777080 is an abundant number, since it is smaller than the sum of its proper divisors (27021382920).

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

11374777080 is a wasteful number, since it uses less digits than its factorization.

11374777080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133418 (or 133408 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 11374777080 in words is "eleven billion, three hundred seventy-four million, seven hundred seventy-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 90 108 120 135 158 180 216 237 270 316 360 395 474 540 632 711 790 948 1080 1185 1422 1580 1896 2133 2370 2844 3160 3555 4266 4740 5688 7110 8532 9480 10665 14220 17064 21330 28440 42660 85320 133319 266638 399957 533276 666595 799914 1066552 1199871 1333190 1599828 1999785 2399742 2666380 3199656 3599613 3999570 4799484 5332760 5999355 7199226 7999140 9598968 10532201 11998710 14398452 15998280 17998065 21064402 23997420 28796904 31596603 35996130 42128804 47994840 52661005 63193206 71992260 84257608 94789809 105322010 126386412 143984520 157983015 189579618 210644020 252772824 284369427 315966030 379159236 421288040 473949045 568738854 631932060 758318472 947898090 1137477708 1263864120 1421847135 1895796180 2274955416 2843694270 3791592360 5687388540 11374777080