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6020620416 = 273240113033
BaseRepresentation
bin1011001101101101…
…10110000010000000
3120112120212012120100
411212312312002000
544312234323131
62433230442400
7302124300126
oct54666660200
916476765510
106020620416
11260a535258
121200363400
1374c4386b5
14411859916
1525385c7e6
hex166db6080

6020620416 has 96 divisors (see below), whose sum is σ = 17369499420. Its totient is φ = 2001715200.

The previous prime is 6020620393. The next prime is 6020620423. The reversal of 6020620416 is 6140260206.

It is a happy number.

6020620416 is a `hidden beast` number, since 6 + 0 + 20 + 620 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5084260416 + 936360000 = 71304^2 + 30600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6020620416.

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, 455436 + ... + 468468.

Almost surely, 26020620416 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 6020620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8684749710).

6020620416 is an abundant number, since it is smaller than the sum of its proper divisors (11348879004).

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

6020620416 is a wasteful number, since it uses less digits than its factorization.

6020620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13454 (or 13439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6020620416 is about 77592.6569721646. The cubic root of 6020620416 is about 1819.1998672617.

The spelling of 6020620416 in words is "six billion, twenty million, six hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 401 576 802 1152 1203 1604 2406 3208 3609 4812 6416 7218 9624 12832 13033 14436 19248 25664 26066 28872 38496 39099 51328 52132 57744 76992 78198 104264 115488 117297 153984 156396 208528 230976 234594 312792 417056 461952 469188 625584 834112 938376 1251168 1668224 1876752 2502336 3753504 5004672 5226233 7507008 10452466 15014016 15678699 20904932 31357398 41809864 47036097 62714796 83619728 94072194 125429592 167239456 188144388 250859184 334478912 376288776 501718368 668957824 752577552 1003436736 1505155104 2006873472 3010310208 6020620416