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77132279664 = 243211202724023
BaseRepresentation
bin100011111010101110…
…0010010111101110000
321101002110222210020200
41013311130102331300
52230431330422124
655233432235200
75400260362626
oct1076534227560
9241073883220
1077132279664
112a791185380
1212b4753bb00
137372c8688b
143a39d67516
152016858bc9
hex11f5712f70

77132279664 has 120 divisors (see below), whose sum is σ = 235613169792. Its totient is φ = 23360914560.

The previous prime is 77132279641. The next prime is 77132279701. The reversal of 77132279664 is 46697223177.

It is a self number, because there is not a number n which added to its sum of digits gives 77132279664.

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, 3198757 + ... + 3222779.

Almost surely, 277132279664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77132279664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117806584896).

77132279664 is an abundant number, since it is smaller than the sum of its proper divisors (158480890128).

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

77132279664 is a wasteful number, since it uses less digits than its factorization.

77132279664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26075 (or 26066 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 77132279664 in words is "seventy-seven billion, one hundred thirty-two million, two hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2027 4054 6081 8108 12162 16216 18243 22297 24023 24324 32432 36486 44594 48046 48648 66891 72069 72972 89188 96092 97296 133782 144138 145944 178376 192184 200673 216207 264253 267564 288276 291888 356752 384368 401346 432414 528506 535128 576552 792759 802692 864828 1057012 1070256 1153104 1585518 1605384 1729656 2114024 2378277 3171036 3210768 3459312 4228048 4756554 6342072 9513108 12684144 19026216 38052432 48694621 97389242 146083863 194778484 292167726 389556968 438251589 535640831 584335452 779113936 876503178 1071281662 1168670904 1606922493 1753006356 2142563324 2337341808 3213844986 3506012712 4285126648 4820767479 6427689972 7012025424 8570253296 9641534958 12855379944 19283069916 25710759888 38566139832 77132279664