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1630155034032 = 243710791949339
BaseRepresentation
bin10111101110001100110…
…011111100110110110000
312202211201022021221001120
4113232030303330312300
5203202024142042112
63244514411502240
7225526522110120
oct27561463746660
95684638257046
101630155034032
11579388022918
12223b27757980
13ba952460445
1458c85570c80
152c60db33e8c
hex17b8ccfcdb0

1630155034032 has 160 divisors (see below), whose sum is σ = 4863203020800. Its totient is φ = 460894281984.

The previous prime is 1630155033989. The next prime is 1630155034061. The reversal of 1630155034032 is 2304305510361.

It is a junction number, because it is equal to n+sod(n) for n = 1630155033984 and 1630155034002.

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, 33015219 + ... + 33064557.

It is an arithmetic number, because the mean of its divisors is an integer number (30395018880).

Almost surely, 21630155034032 is an apocalyptic number.

1630155034032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630155034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431601510400).

1630155034032 is an abundant number, since it is smaller than the sum of its proper divisors (3233047986768).

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

1630155034032 is a wasteful number, since it uses less digits than its factorization.

1630155034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50383 (or 50377 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 1630155034032 in words is "one trillion, six hundred thirty billion, one hundred fifty-five million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 919 1284 1498 1712 1838 2247 2568 2757 2996 3676 4494 5136 5514 5992 6433 7352 8988 11028 11984 12866 14704 17976 19299 22056 25732 35952 38598 44112 49339 51464 77196 98333 98678 102928 148017 154392 196666 197356 294999 296034 308784 345373 393332 394712 589998 592068 688331 690746 786664 789424 1036119 1179996 1184136 1376662 1381492 1573328 2064993 2072238 2359992 2368272 2753324 2762984 4129986 4144476 4719984 5279273 5506648 5525968 8259972 8288952 10558546 11013296 15837819 16519944 16577904 21117092 31675638 33039888 36954911 42234184 45342541 63351276 73909822 84468368 90685082 110864733 126702552 136027623 147819644 181370164 221729466 253405104 272055246 295639288 317397787 362740328 443458932 544110492 591278576 634795574 725480656 886917864 952193361 1088220984 1269591148 1773835728 1904386722 2176441968 2539182296 3808773444 4851651887 5078364592 7617546888 9703303774 14554955661 15235093776 19406607548 29109911322 33961563209 38813215096 58219822644 67923126418 77626430192 101884689627 116439645288 135846252836 203769379254 232879290576 271692505672 407538758508 543385011344 815077517016 1630155034032