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55211486328 = 2334317138711
BaseRepresentation
bin110011011010110111…
…000110110001111000
312021111210011002220000
4303122313012301320
51401033120030303
641210325433000
73663122614305
oct633267066170
9167453132800
1055211486328
1121462498949
12a84a26b760
13528b677b4b
14295a9240ac
151682173da3
hexcdadc6c78

55211486328 has 160 divisors (see below), whose sum is σ = 161884293120. Its totient is φ = 17558856000.

The previous prime is 55211486327. The next prime is 55211486371. The reversal of 55211486328 is 82368411255.

55211486328 is a `hidden beast` number, since 5 + 5 + 2 + 1 + 1 + 4 + 8 + 632 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55211486327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1406893 + ... + 1445603.

It is an arithmetic number, because the mean of its divisors is an integer number (1011776832).

Almost surely, 255211486328 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 55211486328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80942146560).

55211486328 is an abundant number, since it is smaller than the sum of its proper divisors (106672806792).

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

55211486328 is a wasteful number, since it uses less digits than its factorization.

55211486328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38831 (or 38818 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 55211486328 in words is "fifty-five billion, two hundred eleven million, four hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 71 72 81 93 108 124 142 162 186 213 216 248 279 284 324 372 426 558 568 639 648 744 837 852 1116 1278 1674 1704 1917 2201 2232 2511 2556 3348 3834 4402 5022 5112 5751 6603 6696 7668 8804 10044 11502 13206 15336 17608 19809 20088 23004 26412 38711 39618 46008 52824 59427 77422 79236 116133 118854 154844 158472 178281 232266 237708 309688 348399 356562 464532 475416 696798 713124 929064 1045197 1200041 1393596 1426248 2090394 2400082 2748481 2787192 3135591 3600123 4180788 4800164 5496962 6271182 7200246 8245443 8361576 9600328 10800369 10993924 12542364 14400492 16490886 21600738 21987848 24736329 25084728 28800984 32401107 32981772 43201476 49472658 64802214 65963544 74208987 85202911 86402952 97203321 98945316 129604428 148417974 170405822 194406642 197890632 222626961 255608733 259208856 296835948 340811644 388813284 445253922 511217466 593671896 681623288 766826199 777626568 890507844 1022434932 1533652398 1781015688 2044869864 2300478597 3067304796 4600957194 6134609592 6901435791 9201914388 13802871582 18403828776 27605743164 55211486328