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214076702208 = 293835093299
BaseRepresentation
bin1100011101011111110…
…1110011111000000000
3202110120101002020201110
43013113331303320000
512001412113432313
6242202342403320
721316006642065
oct3072775637000
9673511066643
10214076702208
1182875798996
12355a5a30540
13172587a5375
14a50b842c6c
15587e1a8ec3
hex31d7f73e00

214076702208 has 160 divisors (see below), whose sum is σ = 578494224000. Its totient is φ = 70339321856.

The previous prime is 214076702171. The next prime is 214076702239. The reversal of 214076702208 is 802207670412.

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, 64889743 + ... + 64893041.

It is an arithmetic number, because the mean of its divisors is an integer number (3615588900).

Almost surely, 2214076702208 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 214076702208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289247112000).

214076702208 is an abundant number, since it is smaller than the sum of its proper divisors (364417521792).

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

214076702208 is an equidigital number, since it uses as much as digits as its factorization.

214076702208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 214076702208 in words is "two hundred fourteen billion, seventy-six million, seven hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 509 512 664 768 996 1018 1328 1527 1536 1992 2036 2656 3054 3299 3984 4072 5312 6108 6598 7968 8144 9897 10624 12216 13196 15936 16288 19794 21248 24432 26392 31872 32576 39588 42247 42496 48864 52784 63744 65152 79176 84494 97728 105568 126741 127488 130304 158352 168988 195456 211136 253482 260608 273817 316704 337976 390912 422272 506964 547634 633408 675952 781824 821451 844544 1013928 1095268 1266816 1351904 1642902 1679191 1689088 2027856 2190536 2533632 2703808 3285804 3358382 4055712 4381072 5037573 5067264 5407616 6571608 6716764 8111424 8762144 10075146 10815232 13143216 13433528 16222848 17524288 20150292 21630464 26286432 26867056 32445696 35048576 40300584 52572864 53734112 64891392 70097152 80601168 105145728 107468224 139372853 140194304 161202336 210291456 214936448 278745706 322404672 418118559 420582912 429872896 557491412 644809344 836237118 859745792 1114982824 1289618688 1672474236 2229965648 2579237376 3344948472 4459931296 6689896944 8919862592 13379793888 17839725184 26759587776 35679450368 53519175552 71358900736 107038351104 214076702208