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76434336368496 = 243210691971725183
BaseRepresentation
bin10001011000010001000001…
…011101111100011101110000
3101000122001101022122221100100
4101120101001131330131300
540004300010102242441
6430321241022152400
722046125052251641
oct2130210135743560
9330561338587310
1076434336368496
1122399690271817
1286a55a0722700
13338595b281032
1414c3627b356c8
158c8374a1acb6
hex45844177c770

76434336368496 has 120 divisors (see below), whose sum is σ = 214129447675520. Its totient is φ = 25451976826368.

The previous prime is 76434336368371. The next prime is 76434336368519. The reversal of 76434336368496 is 69486363343467.

76434336368496 is a `hidden beast` number, since 7 + 6 + 4 + 3 + 43 + 36 + 3 + 68 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3035143521 + ... + 3035168703.

Almost surely, 276434336368496 is an apocalyptic number.

It is an amenable number.

76434336368496 is an abundant number, since it is smaller than the sum of its proper divisors (137695111307024).

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

76434336368496 is a wasteful number, since it uses less digits than its factorization.

76434336368496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45983 (or 45974 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 72.

The spelling of 76434336368496 in words is "seventy-six trillion, four hundred thirty-four billion, three hundred thirty-six million, three hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1069 2138 3207 4276 6414 8552 9621 12828 17104 19242 19717 25183 25656 38484 39434 50366 51312 59151 75549 76968 78868 100732 118302 151098 153936 157736 177453 201464 226647 236604 302196 315472 354906 402928 453294 473208 604392 709812 906588 946416 1208784 1419624 1813176 2839248 3626352 21077473 26920627 42154946 53841254 63232419 80761881 84309892 107682508 126464838 161523762 168619784 189697257 215365016 242285643 252929676 323047524 337239568 379394514 430730032 484571286 496533211 505859352 646095048 758789028 969142572 993066422 1011718704 1292190096 1489599633 1517578056 1938285144 1986132844 2979199266 3035156112 3876570288 3972265688 4468798899 5958398532 7944531376 8937597798 11916797064 17875195596 23833594128 35750391192 71500782384 530794002559 1061588005118 1592382007677 2123176010236 3184764015354 4246352020472 4777146023031 6369528030708 8492704040944 9554292046062 12739056061416 19108584092124 25478112122832 38217168184248 76434336368496