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1218199970944 = 27112348777243
BaseRepresentation
bin10001101110100010011…
…000000110010010000000
311022110101110011102120101
4101232202120012102000
5124424333143032234
62331344445052144
7154004062621555
oct21564230062200
94273343142511
101218199970944
1142a6aa1416a0
12178118857054
138ab50092298
1442d6572aa2c
1521a4c8e4814
hex11ba2606480

1218199970944 has 128 divisors (see below), whose sum is σ = 2768326087680. Its totient is φ = 528557736960.

The previous prime is 1218199970927. The next prime is 1218199970959. The reversal of 1218199970944 is 4490799918121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12181999709442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 15732387 + ... + 15809629.

It is an arithmetic number, because the mean of its divisors is an integer number (21627547560).

Almost surely, 21218199970944 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 1218199970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384163043840).

1218199970944 is an abundant number, since it is smaller than the sum of its proper divisors (1550126116736).

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

1218199970944 is a wasteful number, since it uses less digits than its factorization.

1218199970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77778 (or 77766 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 64.

The spelling of 1218199970944 in words is "one trillion, two hundred eighteen billion, one hundred ninety-nine million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 487 506 704 736 974 1012 1408 1472 1948 2024 2944 3896 4048 5357 7792 8096 10714 11201 15584 16192 21428 22402 31168 32384 42856 44804 62336 77243 85712 89608 123211 154486 171424 179216 246422 308972 342848 358432 492844 617944 685696 716864 849673 985688 1235888 1433728 1699346 1776589 1971376 2471776 3398692 3553178 3942752 4943552 6797384 7106356 7885504 9887104 13594768 14212712 15771008 19542479 27189536 28425424 37617341 39084958 54379072 56850848 75234682 78169916 108758144 113701696 150469364 156339832 227403392 300938728 312679664 413790751 601877456 625359328 827581502 865198843 1203754912 1250718656 1655163004 1730397686 2407509824 2501437312 3310326008 3460795372 4815019648 6620652016 6921590744 9517187273 13241304032 13843181488 19034374546 26482608064 27686362976 38068749092 52965216128 55372725952 76137498184 110745451904 152274996368 304549992736 609099985472 1218199970944