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6157630416 = 243723976679
BaseRepresentation
bin1011011110000010…
…11111101111010000
3120220010200000221210
411233001133233100
5100102323133131
62455003220120
7305406665160
oct55701375720
916803600853
106157630416
11267a904963
12123a217640
13771939ac2
14425b225a0
152608c3146
hex16f05fbd0

6157630416 has 80 divisors (see below), whose sum is σ = 18255974400. Its totient is φ = 1751938944.

The previous prime is 6157630399. The next prime is 6157630417. The reversal of 6157630416 is 6140367516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157630417) by changing a digit.

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, 41965 + ... + 118643.

It is an arithmetic number, because the mean of its divisors is an integer number (228199680).

Almost surely, 26157630416 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 6157630416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127987200).

6157630416 is an abundant number, since it is smaller than the sum of its proper divisors (12098343984).

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

6157630416 is a wasteful number, since it uses less digits than its factorization.

6157630416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76936 (or 76930 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 6157630416 is about 78470.5703815131. The cubic root of 6157630416 is about 1832.8962088492.

The spelling of 6157630416 in words is "six billion, one hundred fifty-seven million, six hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 10038 11472 13384 20076 26768 40152 76679 80304 153358 230037 306716 460074 536753 613432 920148 1073506 1226864 1610259 1840296 2147012 3220518 3680592 4294024 6441036 8588048 12882072 18326281 25764144 36652562 54978843 73305124 109957686 128283967 146610248 219915372 256567934 293220496 384851901 439830744 513135868 769703802 879661488 1026271736 1539407604 2052543472 3078815208 6157630416