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77700012992 = 2671931294461
BaseRepresentation
bin100100001011101001…
…0000001101111000000
321102120001021121221222
41020113102001233000
52233112200403432
655410032534212
75420323133060
oct1102722015700
9242501247858
1077700012992
112aa526a4878
12130856b1368
137433795864
143a915113a0
15204b601112
hex1217481bc0

77700012992 has 112 divisors (see below), whose sum is σ = 191470970880. Its totient is φ = 30529612800.

The previous prime is 77700012991. The next prime is 77700013003. The reversal of 77700012992 is 29921000777.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77700012991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116642 + ... + 411102.

It is an arithmetic number, because the mean of its divisors is an integer number (1709562240).

Almost surely, 277700012992 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 77700012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95735485440).

77700012992 is an abundant number, since it is smaller than the sum of its proper divisors (113770957888).

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

77700012992 is a wasteful number, since it uses less digits than its factorization.

77700012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294530 (or 294520 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 44.

The spelling of 77700012992 in words is "seventy-seven billion, seven hundred million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 133 152 217 224 248 266 304 434 448 496 532 589 608 868 992 1064 1178 1216 1736 1984 2128 2356 3472 4123 4256 4712 6944 8246 8512 9424 13888 16492 18848 32984 37696 65968 131936 263872 294461 588922 1177844 2061227 2355688 4122454 4711376 5594759 8244908 9128291 9422752 11189518 16489816 18256582 18845504 22379036 32979632 36513164 39163313 44758072 63898037 65959264 73026328 78326626 89516144 127796074 131918528 146052656 156653252 173437529 179032288 255592148 292105312 313306504 346875058 358064576 511184296 584210624 626613008 693750116 1022368592 1214062703 1253226016 1387500232 2044737184 2428125406 2506452032 2775000464 4089474368 4856250812 5550000928 9712501624 11100001856 19425003248 38850006496 77700012992