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1070213250816 = 2833831865471
BaseRepresentation
bin11111001001011011010…
…11100011111100000000
310210022102000001010111000
433210231223203330000
5120013244043011231
62135352120052000
7140214611352123
oct17445553437400
93708360033430
101070213250816
11382969530506
121534b8304000
1379bc79598b8
1439b274d03ba
151cc8a94c6e6
hexf92dae3f00

1070213250816 has 144 divisors (see below), whose sum is σ = 3202940805120. Its totient is φ = 352439516160.

The previous prime is 1070213250779. The next prime is 1070213250823. The reversal of 1070213250816 is 6180523120701.

1070213250816 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 132 + 508 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10702132508162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 359040 + ... + 1506431.

It is an arithmetic number, because the mean of its divisors is an integer number (22242644480).

Almost surely, 21070213250816 is an apocalyptic number.

1070213250816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1070213250816 is an abundant number, since it is smaller than the sum of its proper divisors (2132727554304).

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

1070213250816 is an equidigital number, since it uses as much as digits as its factorization.

1070213250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865579 (or 1865559 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1070213250816 in words is "one trillion, seventy billion, two hundred thirteen million, two hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 576 664 747 768 864 996 1152 1328 1494 1728 1992 2241 2304 2656 2988 3456 3984 4482 5312 5976 6912 7968 8964 10624 11952 15936 17928 21248 23904 31872 35856 47808 63744 71712 95616 143424 191232 286848 573696 1865471 3730942 5596413 7461884 11192826 14923768 16789239 22385652 29847536 33578478 44771304 50367717 59695072 67156956 89542608 100735434 119390144 134313912 154834093 179085216 201470868 238780288 268627824 309668186 358170432 402941736 464502279 477560576 537255648 619336372 716340864 805883472 929004558 1074511296 1238672744 1393506837 1432681728 1611766944 1858009116 2149022592 2477345488 2787013674 3223533888 3716018232 4180520511 4298045184 4954690976 5574027348 6447067776 7432036464 8361041022 9909381952 11148054696 12894135552 14864072928 16722082044 19818763904 22296109392 29728145856 33444164088 39637527808 44592218784 59456291712 66888328176 89184437568 118912583424 133776656352 178368875136 267553312704 356737750272 535106625408 1070213250816