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3874890678552 = 2333371783927179
BaseRepresentation
bin111000011000110001011…
…110111000000100011000
3111201102202210102200001000
4320120301132320010120
51001441234003203202
612124033351025000
7546644255215605
oct70306136700430
914642683380030
103874890678552
111264371851743
12526b9106b160
1322152922724a
14d578d5d96ac
156abdc6a691c
hex386317b8118

3874890678552 has 128 divisors (see below), whose sum is σ = 11055519360000. Its totient is φ = 1256604617088.

The previous prime is 3874890678539. The next prime is 3874890678563. The reversal of 3874890678552 is 2558760984783.

3874890678552 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 8 + 9 + 0 + 67 + 8 + 552 = 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 31 ways as a sum of consecutive naturals, for example, 142555699 + ... + 142582877.

It is an arithmetic number, because the mean of its divisors is an integer number (86371245000).

Almost surely, 23874890678552 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 3874890678552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527759680000).

3874890678552 is an abundant number, since it is smaller than the sum of its proper divisors (7180628681448).

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

3874890678552 is a wasteful number, since it uses less digits than its factorization.

3874890678552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45070 (or 45060 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 3874890678552 in words is "three trillion, eight hundred seventy-four billion, eight hundred ninety million, six hundred seventy-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 17839 27179 35678 53517 54358 71356 81537 107034 108716 142712 160551 163074 214068 217432 244611 321102 326148 428136 481653 489222 642204 652296 660043 733833 963306 978444 1005623 1284408 1320086 1467666 1926612 1956888 1980129 2011246 2640172 2935332 3016869 3853224 3960258 4022492 5280344 5870664 5940387 6033738 7920516 8044984 9050607 11880774 12067476 15841032 17821161 18101214 23761548 24134952 27151821 35642322 36202428 47523096 54303642 71284644 72404856 108607284 142569288 217214568 484846181 969692362 1454538543 1939384724 2909077086 3878769448 4363615629 5818154172 8727231258 11636308344 13090846887 17454462516 17939308697 26181693774 34908925032 35878617394 52363387548 53817926091 71757234788 104726775096 107635852182 143514469576 161453778273 215271704364 322907556546 430543408728 484361334819 645815113092 968722669638 1291630226184 1937445339276 3874890678552