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40195554516 = 2232132989107311
BaseRepresentation
bin100101011011110101…
…110111110011010100
310211202022000201212100
4211123311313303110
51124310030221031
630244322122100
72622040401405
oct453365676324
9124668021770
1040195554516
1116057385047
1279594b0330
133a377412b0
141d345539ac
1510a3c63de6
hex95bd77cd4

40195554516 has 288 divisors, whose sum is σ = 115907500800. Its totient is φ = 11659253760.

The previous prime is 40195554479. The next prime is 40195554523. The reversal of 40195554516 is 61545559104.

40195554516 is a `hidden beast` number, since 4 + 0 + 1 + 95 + 5 + 545 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129246001 + ... + 129246311.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 240195554516 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 40195554516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953750400).

40195554516 is an abundant number, since it is smaller than the sum of its proper divisors (75711946284).

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

40195554516 is a wasteful number, since it uses less digits than its factorization.

40195554516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 40195554516 in words is "forty billion, one hundred ninety-five million, five hundred fifty-four thousand, five hundred sixteen".