Search a number
-
+
21321503632 = 241113174011367
BaseRepresentation
bin10011110110110111…
…000101001110010000
32001000221011121102201
4103312313011032100
5322131301104012
613443413452544
71353236535112
oct236667051620
961027147381
1021321503632
119051484290
124170641154
13201a401550
141063a033b2
1584bca7857
hex4f6dc5390

21321503632 has 160 divisors (see below), whose sum is σ = 51553200384. Its totient is φ = 8392704000.

The previous prime is 21321503617. The next prime is 21321503647. The reversal of 21321503632 is 23630512312.

It is an interprime number because it is at equal distance from previous prime (21321503617) and next prime (21321503647).

It is a self number, because there is not a number n which added to its sum of digits gives 21321503632.

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, 15596613 + ... + 15597979.

Almost surely, 221321503632 is an apocalyptic number.

21321503632 is a gapful number since it is divisible by the number (22) 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 21321503632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25776600192).

21321503632 is an abundant number, since it is smaller than the sum of its proper divisors (30231696752).

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

21321503632 is a wasteful number, since it uses less digits than its factorization.

21321503632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 21321503632 in words is "twenty-one billion, three hundred twenty-one million, five hundred three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 401 442 572 748 802 884 1144 1367 1496 1604 1768 2288 2431 2734 2992 3208 3536 4411 4862 5213 5468 6416 6817 8822 9724 10426 10936 13634 15037 17644 17771 19448 20852 21872 23239 27268 30074 35288 35542 38896 41704 46478 54536 57343 60148 70576 71084 74987 83408 88621 92956 109072 114686 120296 142168 149974 177242 185912 195481 229372 240592 255629 284336 299948 302107 354484 371824 390962 458744 511258 548167 599896 604214 708968 781924 917488 974831 1022516 1096334 1199792 1208428 1417936 1563848 1949662 2045032 2192668 2416856 3127696 3323177 3899324 4090064 4385336 4833712 6029837 6646354 7126171 7798648 8770672 9318839 12059674 13292708 14252342 15597296 18637678 24119348 26585416 28504684 37275356 48238696 53170832 57009368 74550712 78387881 96477392 102507229 114018736 121144907 149101424 156775762 205014458 242289814 313551524 410028916 484579628 627103048 820057832 969159256 1254206096 1332593977 1640115664 1938318512 2665187954 5330375908 10660751816 21321503632