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11402870784 = 217347617
BaseRepresentation
bin10101001111010101…
…00000000000000000
31002102200111212001120
422213222200000000
5141323113331114
65123255032240
7552400542144
oct124752400000
932380455046
1011402870784
114921694658
12226296b680
1310c9532826
147a25c1224
1546b11d5a9
hex2a7aa0000

11402870784 has 144 divisors (see below), whose sum is σ = 31104839808. Its totient is φ = 3714056192.

The previous prime is 11402870711. The next prime is 11402870803. The reversal of 11402870784 is 48707820411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18480844 + ... + 18481460.

It is an arithmetic number, because the mean of its divisors is an integer number (216005832).

Almost surely, 211402870784 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 11402870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552419904).

11402870784 is an abundant number, since it is smaller than the sum of its proper divisors (19701969024).

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

11402870784 is an frugal number, since it uses more digits than its factorization.

11402870784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 11402870784 in words is "eleven billion, four hundred two million, eight hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 617 752 768 1024 1128 1234 1504 1536 1851 2048 2256 2468 3008 3072 3702 4096 4512 4936 6016 6144 7404 8192 9024 9872 12032 12288 14808 16384 18048 19744 24064 24576 28999 29616 32768 36096 39488 48128 49152 57998 59232 65536 72192 78976 86997 96256 98304 115996 118464 131072 144384 157952 173994 192512 196608 231992 236928 288768 315904 347988 385024 393216 463984 473856 577536 631808 695976 770048 927968 947712 1155072 1263616 1391952 1540096 1855936 1895424 2310144 2527232 2783904 3080192 3711872 3790848 4620288 5054464 5567808 6160384 7423744 7581696 9240576 10108928 11135616 14847488 15163392 18481152 20217856 22271232 29694976 30326784 40435712 44542464 59389952 60653568 80871424 89084928 118779904 121307136 178169856 237559808 242614272 356339712 475119616 712679424 950239232 1425358848 1900478464 2850717696 3800956928 5701435392 11402870784