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77054011060096 = 2771719381261013
BaseRepresentation
bin10001100001010010001000…
…111101010010111110000000
3101002211021212111220212212001
4101201102020331102332000
540044423103312410341
6431514042441313344
722141653140235610
oct2141221075227600
9332737774825761
1077054011060096
11226084714a4314
128785700495854
1333cc215096995
141505610dc0a40
158d9541c96d31
hex461488f52f80

77054011060096 has 128 divisors (see below), whose sum is σ = 185765501338560. Its totient is φ = 31078886768640.

The previous prime is 77054011060087. The next prime is 77054011060153. The reversal of 77054011060096 is 69006011045077.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295080886 + ... + 295341898.

Almost surely, 277054011060096 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 77054011060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92882750669280).

77054011060096 is an abundant number, since it is smaller than the sum of its proper divisors (108711490278464).

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

77054011060096 is a wasteful number, since it uses less digits than its factorization.

77054011060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280432 (or 280420 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 77054011060096 in words is "seventy-seven trillion, fifty-four billion, eleven million, sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 19381 38762 77524 135667 155048 261013 271334 310096 329477 522026 542668 620192 658954 1044052 1085336 1240384 1317908 1827091 2088104 2170672 2306339 2480768 2635816 3654182 4176208 4341344 4437221 4612678 5271632 7308364 8352416 8682688 8874442 9225356 10543264 14616728 16704832 17365376 17748884 18450712 21086528 29233456 31060547 33409664 35497768 36901424 42173056 58466912 62121094 70995536 73802848 116933824 124242188 141991072 147605696 233867648 248484376 283982144 295211392 496968752 567964288 993937504 1987875008 3975750016 5058692953 10117385906 20234771812 35410850671 40469543624 70821701342 80939087248 85997780201 141643402684 161878174496 171995560402 283286805368 323756348992 343991120804 566573610736 601984461407 647512697984 687982241608 1133147221472 1203968922814 1375964483216 2266294442944 2407937845628 2751928966432 4532588885888 4815875691256 5503857932864 9631751382512 11007715865728 19263502765024 38527005530048 77054011060096