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6116607640 = 23511133728901
BaseRepresentation
bin1011011001001010…
…00000011010011000
3120210021110212021201
411230211000122120
5100011322421030
62450540043544
7304401210223
oct55445003230
916707425251
106116607640
112659735940
1212285335b4
137662a5880
144204c45ba
1525bebd2ca
hex16c940698

6116607640 has 128 divisors (see below), whose sum is σ = 16605933120. Its totient is φ = 1997568000.

The previous prime is 6116607611. The next prime is 6116607643. The reversal of 6116607640 is 467066116.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 6116607640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6116607643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197190 + ... + 226090.

Almost surely, 26116607640 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 6116607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302966560).

6116607640 is an abundant number, since it is smaller than the sum of its proper divisors (10489325480).

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

6116607640 is a wasteful number, since it uses less digits than its factorization.

6116607640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28973 (or 28969 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 6116607640 is about 78208.7440124185. The cubic root of 6116607640 is about 1828.8168210594.

It can be divided in two parts, 61166076 and 40, that added together give a palindrome (61166116).

The spelling of 6116607640 in words is "six billion, one hundred sixteen million, six hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 37 40 44 52 55 65 74 88 104 110 130 143 148 185 220 260 286 296 370 407 440 481 520 572 715 740 814 962 1144 1430 1480 1628 1924 2035 2405 2860 3256 3848 4070 4810 5291 5720 8140 9620 10582 16280 19240 21164 26455 28901 42328 52910 57802 105820 115604 144505 211640 231208 289010 317911 375713 578020 635822 751426 1069337 1156040 1271644 1502852 1589555 1878565 2138674 2543288 3005704 3179110 3757130 4132843 4277348 5346685 6358220 7514260 8265686 8554696 10693370 11762707 12716440 13901381 15028520 16531372 20664215 21386740 23525414 27802762 33062744 41328430 42773480 47050828 55605524 58813535 69506905 82656860 94101656 111211048 117627070 139013810 152915191 165313720 235254140 278027620 305830382 470508280 556055240 611660764 764575955 1223321528 1529151910 3058303820 6116607640