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2742054029120 = 26573893146867
BaseRepresentation
bin100111111001101111001…
…010000000011101000000
3100201010201110102021110002
4213321233022000131000
5324411211312412440
65455403210055132
7402051440452340
oct47715712003500
910633643367402
102742054029120
11967998017a4a
1238351841a4a8
1316b7614971c3
1496a05082d20
154b4d9053115
hex27e6f280740

2742054029120 has 112 divisors (see below), whose sum is σ = 7481489857920. Its totient is φ = 937715718144.

The previous prime is 2742054029111. The next prime is 2742054029159. The reversal of 2742054029120 is 219204502472.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×27420540291202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 702074 + ... + 2444793.

Almost surely, 22742054029120 is an apocalyptic number.

2742054029120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742054029120 is an abundant number, since it is smaller than the sum of its proper divisors (4739435828800).

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

2742054029120 is a wasteful number, since it uses less digits than its factorization.

2742054029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147280 (or 3147270 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 2742054029120 in words is "two trillion, seven hundred forty-two billion, fifty-four million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 389 448 560 778 1120 1556 1945 2240 2723 3112 3890 5446 6224 7780 10892 12448 13615 15560 21784 24896 27230 31120 43568 54460 62240 87136 108920 124480 174272 217840 435680 871360 3146867 6293734 12587468 15734335 22028069 25174936 31468670 44056138 50349872 62937340 88112276 100699744 110140345 125874680 176224552 201399488 220280690 251749360 352449104 440561380 503498720 704898208 881122760 1006997440 1224131263 1409796416 1762245520 2448262526 3524491040 4896525052 6120656315 7048982080 8568918841 9793050104 12241312630 17137837682 19586100208 24482625260 34275675364 39172200416 42844594205 48965250520 68551350728 78344400832 85689188410 97930501040 137102701456 171378376820 195861002080 274205402912 342756753640 391722004160 548410805824 685513507280 1371027014560 2742054029120