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2680017152 = 28374167103
BaseRepresentation
bin1001111110111101…
…1101000100000000
320220202220222101112
42133233131010000
520442041022102
61121534022452
7123261525041
oct23757350400
96822828345
102680017152
11115588860a
12629647a28
1333930b087
141b5d108c8
1510a439252
hex9fbdd100

2680017152 has 144 divisors (see below), whose sum is σ = 5767612032. Its totient is φ = 1240842240.

The previous prime is 2680017143. The next prime is 2680017157. The reversal of 2680017152 is 2517100862.

2680017152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26800171522 = 14364983870028382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2680017157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26019533 + ... + 26019635.

Almost surely, 22680017152 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 2680017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883806016).

2680017152 is an abundant number, since it is smaller than the sum of its proper divisors (3087594880).

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

2680017152 is a wasteful number, since it uses less digits than its factorization.

2680017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 2680017152 is about 51768.8820818066. The cubic root of 2680017152 is about 1389.0328748640.

It can be divided in two parts, 26800 and 17152, that multiplied together give a square (459673600 = 214402).

The spelling of 2680017152 in words is "two billion, six hundred eighty million, seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 41 64 67 74 82 103 128 134 148 164 206 256 268 296 328 412 536 592 656 824 1072 1184 1312 1517 1648 2144 2368 2479 2624 2747 3034 3296 3811 4223 4288 4736 4958 5248 5494 6068 6592 6901 7622 8446 8576 9472 9916 10496 10988 12136 13184 13802 15244 16892 17152 19832 21976 24272 26368 27604 30488 33784 39664 43952 48544 55208 60976 67568 79328 87904 97088 101639 110416 121952 135136 156251 158656 175808 194176 203278 220832 243904 255337 270272 282941 312502 317312 351616 388352 406556 441664 487808 510674 540544 565882 625004 634624 703232 813112 883328 975616 1021348 1081088 1131764 1250008 1626224 1766656 2042696 2263528 2500016 3252448 4085392 4527056 5000032 6504896 8170784 9054112 10000064 10468817 13009792 16341568 18108224 20000128 20937634 26019584 32683136 36216448 40000256 41875268 65366272 72432896 83750536 167501072 335002144 670004288 1340008576 2680017152