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2138973696 = 2933359431
BaseRepresentation
bin111111101111110…
…0010011000000000
312112001212010022000
41333133202120000
513340034124241
6552125344000
7104001655626
oct17737423000
95461763260
102138973696
119a8438662
124b8408000
132811b5512
14164113516
15c7bb4eb6
hex7f7e2600

2138973696 has 160 divisors (see below), whose sum is σ = 6363878400. Its totient is φ = 709355520.

The previous prime is 2138973679. The next prime is 2138973703. The reversal of 2138973696 is 6963798312.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4962601 + ... + 4963031.

It is an arithmetic number, because the mean of its divisors is an integer number (39774240).

Almost surely, 22138973696 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 2138973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181939200).

2138973696 is an abundant number, since it is smaller than the sum of its proper divisors (4224904704).

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

2138973696 is an equidigital number, since it uses as much as digits as its factorization.

2138973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 795 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2138973696 is about 46249.0399467924. The cubic root of 2138973696 is about 1288.4527040526.

The spelling of 2138973696 in words is "two billion, one hundred thirty-eight million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 359 384 431 432 512 576 718 768 862 864 1077 1152 1293 1436 1536 1724 1728 2154 2304 2586 2872 3231 3448 3456 3879 4308 4608 5172 5744 6462 6896 6912 7758 8616 9693 10344 11488 11637 12924 13792 13824 15516 17232 19386 20688 22976 23274 25848 27584 31032 34464 38772 41376 45952 46548 51696 55168 62064 68928 77544 82752 91904 93096 103392 110336 124128 137856 154729 155088 165504 183808 186192 206784 220672 248256 275712 309458 310176 331008 372384 413568 464187 496512 551424 618916 620352 662016 744768 827136 928374 993024 1237832 1240704 1392561 1489536 1654272 1856748 1986048 2475664 2481408 2785122 2979072 3713496 4177683 4951328 4962816 5570244 5958144 7426992 8355366 9902656 11140488 14853984 16710732 19805312 22280976 29707968 33421464 39610624 44561952 59415936 66842928 79221248 89123904 118831872 133685856 178247808 237663744 267371712 356495616 534743424 712991232 1069486848 2138973696