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83053477356608 = 2611211483933979
BaseRepresentation
bin10010111000100101100101…
…000000111110010001000000
3101220001211112122012111012102
4102320211211000332101000
541341222010200402413
6452350124001245532
723331262410321203
oct2270454500762100
9356054478174172
1083053477356608
112451086684a400
1293943a16338a8
133745ba89a0aa5
141671b49d6393a
15990628e5a458
hex4b896503e440

83053477356608 has 84 divisors (see below), whose sum is σ = 181169932371120. Its totient is φ = 37748252593920.

The previous prime is 83053477356589. The next prime is 83053477356637. The reversal of 83053477356608 is 80665377435038.

It is a happy number.

It is a super-4 number, since 4×830534773566084 (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88457363 + ... + 89391341.

It is an arithmetic number, because the mean of its divisors is an integer number (2156784909180).

Almost surely, 283053477356608 is an apocalyptic number.

83053477356608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83053477356608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90584966185560).

83053477356608 is an abundant number, since it is smaller than the sum of its proper divisors (98116455014512).

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

83053477356608 is a wasteful number, since it uses less digits than its factorization.

83053477356608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945496 (or 945475 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 65.

The spelling of 83053477356608 in words is "eighty-three trillion, fifty-three billion, four hundred seventy-seven million, three hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 11483 22966 45932 91864 126313 183728 252626 367456 505252 734912 933979 1010504 1389443 1867958 2021008 2778886 3735916 4042016 5557772 7471832 8084032 10273769 11115544 14943664 20547538 22231088 29887328 41095076 44462176 59774656 82190152 88924352 113011459 164380304 226022918 328760608 452045836 657521216 904091672 1808183344 3616366688 7232733376 10724880857 21449761714 42899523428 85799046856 117973689427 171598093712 235947378854 343196187424 471894757708 686392374848 943789515416 1297710583697 1887579030832 2595421167394 3775158061664 5190842334788 7550316123328 10381684669576 20763369339152 41526738678304 83053477356608