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19740000109452 = 22372324127107641
BaseRepresentation
bin1000111110100000100111…
…01100011100001110001100
32120220010101112210120112220
410133100103230130032030
510041410010012000302
6105552233022055340
74105111414304160
oct437202354341614
976803345716486
1019740000109452
116320761494037
1222698b211a550
13b0262157545c
144c35c7714ca0
152437391d14bc
hex11f413b1c38c

19740000109452 has 144 divisors (see below), whose sum is σ = 55042049513472. Its totient is φ = 5393425340160.

The previous prime is 19740000109411. The next prime is 19740000109517. The reversal of 19740000109452 is 25490100004791.

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

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, 183333552 + ... + 183441192.

Almost surely, 219740000109452 is an apocalyptic number.

19740000109452 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 19740000109452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521024756736).

19740000109452 is an abundant number, since it is smaller than the sum of its proper divisors (35302049404020).

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

19740000109452 is a wasteful number, since it uses less digits than its factorization.

19740000109452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111828 (or 111803 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 19740000109452 in words is "nineteen trillion, seven hundred forty billion, one hundred nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 529 644 966 1058 1587 1932 2116 3174 3703 4127 6348 7406 8254 11109 12381 14812 16508 22218 24762 28889 44436 49524 57778 86667 94921 107641 115556 173334 189842 215282 284763 322923 346668 379684 430564 569526 645846 664447 753487 1139052 1291692 1328894 1506974 1993341 2183183 2260461 2475743 2657788 3013948 3986682 4366366 4520922 4951486 6549549 7427229 7973364 8732732 9041844 9902972 13099098 14854458 15282281 17330201 26198196 29708916 30564562 34660402 45846843 51990603 56942089 61129124 69320804 91693686 103981206 113884178 170826267 183387372 207962412 227768356 341652534 398594623 444234407 683305068 797189246 888468814 1195783869 1332703221 1594378492 1776937628 2391567738 2665406442 3109640849 4783135476 5330812884 6219281698 9328922547 10217391361 12438563396 18657845094 20434782722 30652174083 37315690188 40869565444 61304348166 71521739527 122608696332 143043479054 214565218581 235000001303 286086958108 429130437162 470000002606 705000003909 858260874324 940000005212 1410000007818 1645000009121 2820000015636 3290000018242 4935000027363 6580000036484 9870000054726 19740000109452