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77232091904 = 281152372
BaseRepresentation
bin100011111101101100…
…1000011001100000000
321101100102210202220022
41013323121003030000
52231132403420104
655251355433012
75402611643462
oct1077331031400
9241312722808
1077232091904
112a832558830
1212b74a55768
13738a862a86
143a4930a132
1520204c2bbe
hex11fb643300

77232091904 has 54 divisors (see below), whose sum is σ = 168209387724. Its totient is φ = 35098792960.

The previous prime is 77232091903. The next prime is 77232091931. The reversal of 77232091904 is 40919023277.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (77232091903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14744774 + ... + 14750010.

Almost surely, 277232091904 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 77232091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84104693862).

77232091904 is an abundant number, since it is smaller than the sum of its proper divisors (90977295820).

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

77232091904 is an frugal number, since it uses more digits than its factorization.

77232091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

Multiplying 77232091904 by its sum of digits (44), we get a square (3398212043776 = 18434242).

77232091904 divided by its sum of digits (44) gives a square (1755274816 = 418962).

The spelling of 77232091904 in words is "seventy-seven billion, two hundred thirty-two million, ninety-one thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 5237 10474 20948 41896 57607 83792 115214 167584 230428 335168 460856 670336 921712 1340672 1843424 3686848 7373696 14747392 27426169 54852338 109704676 219409352 301687859 438818704 603375718 877637408 1206751436 1755274816 2413502872 3510549632 4827005744 7021099264 9654011488 19308022976 38616045952 77232091904