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2693378244834 = 2321725961914177
BaseRepresentation
bin100111001100011001110…
…110101000000011100010
3100112111002011100020021200
4213030121312220003202
5323112014312313314
65421153151102030
7365406265224654
oct47143166500342
910474064306250
102693378244834
11949289891852
12375bb2b11916
13166ca4b90694
14945085786d4
154a0daa83709
hex27319da80e2

2693378244834 has 144 divisors (see below), whose sum is σ = 6314818816800. Its totient is φ = 829259255808.

The previous prime is 2693378244787. The next prime is 2693378244853. The reversal of 2693378244834 is 4384428733962.

2693378244834 is a `hidden beast` number, since 2 + 6 + 93 + 3 + 78 + 2 + 448 + 34 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189975154 + ... + 189989330.

It is an arithmetic number, because the mean of its divisors is an integer number (43852908450).

Almost surely, 22693378244834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693378244834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157409408400).

2693378244834 is an abundant number, since it is smaller than the sum of its proper divisors (3621440571966).

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

2693378244834 is a wasteful number, since it uses less digits than its factorization.

2693378244834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897 (or 14877 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 2693378244834 in words is "two trillion, six hundred ninety-three billion, three hundred seventy-eight million, two hundred forty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 289 306 354 531 578 619 867 1003 1062 1238 1734 1857 2006 2601 3009 3714 5202 5571 6018 9027 10523 11142 14177 17051 18054 21046 28354 31569 34102 36521 42531 51153 63138 73042 85062 94707 102306 109563 127593 153459 178891 189414 219126 241009 255186 306918 328689 357782 482018 536673 620857 657378 723027 836443 1073346 1241714 1446054 1610019 1672886 1862571 2169081 2509329 3220038 3725142 4097153 4338162 5018658 5587713 7527987 8194306 8775563 10554569 11175426 12291459 14219531 15055974 17551126 21109138 24582918 26326689 28439062 31663707 36874377 42658593 52653378 63327414 73748754 78980067 85317186 94991121 127975779 149184571 157960134 189982242 241732027 255951558 298369142 447553713 483464054 517758217 725196081 895107426 1035516434 1342661139 1450392162 1553274651 2175588243 2536137707 2685322278 3106549302 4351176486 4659823953 5072275414 7608413121 8801889689 9319647906 15216826242 17603779378 22825239363 26405669067 45650478726 52811338134 79217007201 149632124713 158434014402 299264249426 448896374139 897792748278 1346689122417 2693378244834