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2157058808064 = 28322340705367
BaseRepresentation
bin11111011000111010101…
…110010101100100000000
321122012202010200222010100
4133120322232111210000
5240320124023324224
64330534504202400
7311561633226456
oct37307256254400
97565663628110
102157058808064
1176189250aa06
122aa076769400
1312854336a024
147658b9089d6
153b19b640ac9
hex1f63ab95900

2157058808064 has 108 divisors (see below), whose sum is σ = 6489738230976. Its totient is φ = 687757863936.

The previous prime is 2157058808059. The next prime is 2157058808101. The reversal of 2157058808064 is 4608088507512.

2157058808064 is a `hidden beast` number, since 2 + 1 + 57 + 0 + 588 + 0 + 8 + 0 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2157058808064.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20299692 + ... + 20405675.

Almost surely, 22157058808064 is an apocalyptic number.

2157058808064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2157058808064 is an abundant number, since it is smaller than the sum of its proper divisors (4332679422912).

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

2157058808064 is a wasteful number, since it uses less digits than its factorization.

2157058808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40705412 (or 40705395 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 2157058808064 in words is "two trillion, one hundred fifty-seven billion, fifty-eight million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 52992 40705367 81410734 122116101 162821468 244232202 325642936 366348303 488464404 651285872 732696606 936223441 976928808 1302571744 1465393212 1872446882 1953857616 2605143488 2808670323 2930786424 3744893764 3907715232 5210286976 5617340646 5861572848 7489787528 7815430464 8426010969 10420573952 11234681292 11723145696 14979575056 15630860928 16852021938 22469362584 23446291392 29959150112 31261721856 33704043876 44938725168 46892582784 59918300224 67408087752 89877450336 93785165568 119836600448 134816175504 179754900672 239673200896 269632351008 359509801344 539264702016 719019602688 1078529404032 2157058808064