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6061101010056 = 2332232178789051
BaseRepresentation
bin101100000110011010111…
…0001011100110010001000
3210110102202112212110111200
41120030311301130302020
51243301113324310211
620520233101424200
71163620506346551
oct130146561346210
923412675773450
106061101010056
111a27553564684
1281a82256b060
1334c736c32611
1416d5049a5328
15a79e31c0b56
hex58335c5cc88

6061101010056 has 144 divisors (see below), whose sum is σ = 17170025286960. Its totient is φ = 1931421835200.

The previous prime is 6061101010021. The next prime is 6061101010087. The reversal of 6061101010056 is 6500101011606.

6061101010056 is a `hidden beast` number, since 606 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 0 + 56 = 666.

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 35 ways as a sum of consecutive naturals, for example, 68018731 + ... + 68107781.

It is an arithmetic number, because the mean of its divisors is an integer number (119236286715).

Almost surely, 26061101010056 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 6061101010056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585012643480).

6061101010056 is an abundant number, since it is smaller than the sum of its proper divisors (11108924276904).

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

6061101010056 is a wasteful number, since it uses less digits than its factorization.

6061101010056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90896 (or 90866 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

It can be divided in two parts, 60 and 61101010056, that added together give a palindrome (61101010116).

The spelling of 6061101010056 in words is "six trillion, sixty-one billion, one hundred one million, ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 1787 2116 3174 3574 4232 4761 5361 6348 7148 9522 10722 12696 14296 16083 19044 21444 32166 38088 41101 42888 64332 82202 89051 123303 128664 164404 178102 246606 267153 328808 356204 369909 493212 534306 712408 739818 801459 945323 986424 1068612 1479636 1602918 1890646 2048173 2137224 2835969 2959272 3205836 3781292 4096346 5671938 6144519 6411672 7562584 8192692 8507907 11343876 12289038 16385384 17015814 18433557 22687752 24578076 34031628 36867114 47107979 49156152 68063256 73734228 94215958 141323937 147468456 159134137 188431916 282647874 318268274 376863832 423971811 477402411 565295748 636536548 847943622 954804822 1130591496 1273073096 1432207233 1695887244 1909609644 2864414466 3391774488 3660085151 3819219288 5728828932 7320170302 10980255453 11457657864 14640340604 21960510906 29280681208 32940766359 43921021812 65881532718 84181958473 87842043624 131763065436 168363916946 252545875419 263526130872 336727833892 505091750838 673455667784 757637626257 1010183501676 1515275252514 2020367003352 3030550505028 6061101010056