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2077097984 = 217132353
BaseRepresentation
bin111101111001110…
…0000000000000000
312100202102111202222
41323303200000000
513223214113414
6542035230212
7102321020153
oct17363400000
95322374688
102077097984
11976516505
1249b748368
1327142c880
14159c07c9a
15c254168e
hex7bce0000

2077097984 has 144 divisors (see below), whose sum is σ = 4756322592. Its totient is φ = 899678208.

The previous prime is 2077097959. The next prime is 2077097987. The reversal of 2077097984 is 4897907702.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077097987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39190502 + ... + 39190554.

It is an arithmetic number, because the mean of its divisors is an integer number (33030018).

Almost surely, 22077097984 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 2077097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378161296).

2077097984 is an abundant number, since it is smaller than the sum of its proper divisors (2679224608).

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

2077097984 is an frugal number, since it uses more digits than its factorization.

2077097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 53.

The square root of 2077097984 is about 45575.1904439246. The cubic root of 2077097984 is about 1275.9069254674.

The spelling of 2077097984 in words is "two billion, seventy-seven million, ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 64 92 104 106 128 184 208 212 256 299 368 416 424 512 598 689 736 832 848 1024 1196 1219 1378 1472 1664 1696 2048 2392 2438 2756 2944 3328 3392 4096 4784 4876 5512 5888 6656 6784 8192 9568 9752 11024 11776 13312 13568 15847 16384 19136 19504 22048 23552 26624 27136 31694 32768 38272 39008 44096 47104 53248 54272 63388 65536 76544 78016 88192 94208 106496 108544 126776 131072 153088 156032 176384 188416 212992 217088 253552 306176 312064 352768 376832 425984 434176 507104 612352 624128 705536 753664 851968 868352 1014208 1224704 1248256 1411072 1507328 1703936 1736704 2028416 2449408 2496512 2822144 3014656 3473408 4056832 4898816 4993024 5644288 6946816 8113664 9797632 9986048 11288576 16227328 19595264 19972096 22577152 32454656 39190528 39944192 45154304 64909312 79888384 90308608 129818624 159776768 259637248 519274496 1038548992 2077097984