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1077771000438 = 2321112037452213
BaseRepresentation
bin11111010111100000010…
…10000101101001110110
310211000220201021120220200
433223300022011221312
5120124233334003223
62143042100541330
7140603112230436
oct17536012055166
93730821246820
101077771000438
113860976a5680
12154a673b1846
137a8306874b2
143a2431562c6
151d07e1daa43
hexfaf0285a76

1077771000438 has 48 divisors (see below), whose sum is σ = 2547675997776. Its totient is φ = 326569417920.

The previous prime is 1077771000421. The next prime is 1077771000451. The reversal of 1077771000438 is 8340001777701.

1077771000438 is a `hidden beast` number, since 107 + 7 + 7 + 7 + 100 + 0 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1077771000393 and 1077771000402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157220 + ... + 2609432.

It is an arithmetic number, because the mean of its divisors is an integer number (53076583287).

Almost surely, 21077771000438 is an apocalyptic number.

1077771000438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1077771000438 is an abundant number, since it is smaller than the sum of its proper divisors (1469904997338).

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

1077771000438 is a wasteful number, since it uses less digits than its factorization.

1077771000438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464269 (or 464266 counting only the distinct ones).

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

The spelling of 1077771000438 in words is "one trillion, seventy-seven billion, seven hundred seventy-one million, four hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 12037 24074 36111 72222 108333 132407 216666 264814 397221 452213 794442 904426 1191663 1356639 2383326 2713278 4069917 4974343 8139834 9948686 14923029 29846058 44769087 89538174 5443287881 10886575762 16329863643 32659727286 48989590929 59876166691 97979181858 119752333382 179628500073 359257000146 538885500219 1077771000438