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2146230013578 = 237247267158151
BaseRepresentation
bin11111001110110101010…
…001110000111010001010
321121011210110102012200220
4133032311101300322022
5240130434340413303
64321544153410510
7311026403053200
oct37166521607212
97534713365626
102146230013578
11758235988382
122a7b54109a36
13127508a57621
1475c41683070
153ac65b1e053
hex1f3b5470e8a

2146230013578 has 96 divisors (see below), whose sum is σ = 5101506551808. Its totient is φ = 599926572000.

The previous prime is 2146230013567. The next prime is 2146230013589. The reversal of 2146230013578 is 8753100326412.

It is an interprime number because it is at equal distance from previous prime (2146230013567) and next prime (2146230013589).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36878803 + ... + 36936953.

It is an arithmetic number, because the mean of its divisors is an integer number (53140693248).

Almost surely, 22146230013578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146230013578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550753275904).

2146230013578 is an abundant number, since it is smaller than the sum of its proper divisors (2955276538230).

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

2146230013578 is a wasteful number, since it uses less digits than its factorization.

2146230013578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60888 (or 60881 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2146230013578 in words is "two trillion, one hundred forty-six billion, two hundred thirty million, thirteen thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1974 2303 2671 4606 5342 6909 8013 13818 16026 18697 37394 56091 58151 112182 116302 125537 130879 174453 251074 261758 348906 376611 392637 407057 753222 785274 814114 878759 1221171 1757518 2442342 2636277 2733097 2849399 5272554 5466194 5698798 6151313 8199291 8548197 12302626 16398582 17096394 18453939 19131679 36907878 38263358 57395037 114790074 133921753 155321321 267843506 310642642 401765259 465963963 803530518 931927926 1087249247 2174498494 3261747741 6523495482 7300102087 7610744729 14600204174 15221489458 21900306261 22832234187 43800612522 45664468374 51100714609 102201429218 153302143827 306604287654 357705002263 715410004526 1073115006789 2146230013578