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2948296016136 = 2336110995319387
BaseRepresentation
bin101010111001110100001…
…000110000000100001000
3101102212001211002202101210
4222321310020300010020
5341301102240004021
610134232315413120
7423002344434252
oct52716410600410
911385054082353
102948296016136
11a3740226a3a9
123b74964541a0
1318503ba4a503
14a29ac164cd2
1551a5a4aee76
hex2ae74230108

2948296016136 has 128 divisors (see below), whose sum is σ = 7568625398400. Its totient is φ = 956731668480.

The previous prime is 2948296016093. The next prime is 2948296016161. The reversal of 2948296016136 is 6316106928492.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152066235 + ... + 152085621.

It is an arithmetic number, because the mean of its divisors is an integer number (59129885925).

Almost surely, 22948296016136 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 2948296016136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784312699200).

2948296016136 is an abundant number, since it is smaller than the sum of its proper divisors (4620329382264).

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

2948296016136 is a wasteful number, since it uses less digits than its factorization.

2948296016136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519 (or 20515 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 2948296016136 in words is "two trillion, nine hundred forty-eight billion, two hundred ninety-six million, sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 109 122 183 218 244 327 366 436 488 654 732 872 953 1308 1464 1906 2616 2859 3812 5718 6649 7624 11436 13298 19387 19947 22872 26596 38774 39894 53192 58133 58161 77548 79788 103877 116266 116322 155096 159576 174399 207754 232532 232644 311631 348798 415508 465064 465288 623262 697596 831016 1182607 1246524 1395192 2113183 2365214 2493048 3547821 4226366 4730428 6336497 6339549 7095642 8452732 9460856 12672994 12679098 14191284 16905464 18475811 19009491 25345988 25358196 28382568 36951622 38018982 50691976 50716392 55427433 73903244 76037964 110854866 128904163 147806488 152075928 221709732 257808326 386712489 443419464 515616652 773424978 1031233304 1127024471 1546849956 2013863399 2254048942 3093699912 3381073413 4027726798 4508097884 6041590197 6762146826 8055453596 9016195768 12083180394 13524293652 16110907192 24166360788 27048587304 48332721576 122845667339 245691334678 368537002017 491382669356 737074004034 982765338712 1474148008068 2948296016136